EXHIBIT 4.1
                                                                   -----------


                                                                EXECUTION COPY


                         FOURTH SUPPLEMENTAL INDENTURE


         "Supplemental  Indenture",  dated as of May 2, 2006,  among  MeriStar
Hospitality Operating  Partnership,  L.P., a Delaware limited partnership (the
"Company"),   MeriStar  Hospitality  Finance  Corp.,  a  Delaware  corporation
("MeriStar Finance," and, together with the Company, the "Issuers"),  MeriStar
Hospitality   Corporation,   a  Maryland   corporation   ("MeriStar"),   Alcor
Acquisition  LLC, a Delaware  limited  liability  company  ("Successor"),  the
subsidiary guarantors parties hereto (the "Subsidiary  Guarantors"),  and U.S.
Bank Trust National Association, as trustee (the "Trustee").

         WHEREAS,  the Issuers,  MeriStar,  the Subsidiary  Guarantors and the
Trustee have heretofore  executed and delivered a certain Indenture,  dated as
of January 26, 2001, as supplemented by the First Supplemental Indenture dated
as of  December  19,  2001,  the  Second  Supplemental  Indenture  dated as of
February 7, 2002 and the Third  Supplemental  Indenture  dated as of April 13,
2006 (as  supplemented,  the  "Indenture";  capitalized  terms  not  otherwise
defined  herein shall have the meanings set forth in the  Indenture),  and the
Issuers have issued  pursuant to the Indenture  their 9% Senior Notes due 2008
(the "Notes"),  which are guaranteed by MeriStar and the Subsidiary Guarantors
(together, the "Guarantors");

         WHEREAS, the Company, MeriStar,  Successor and certain other entities
have entered into an  Agreement  and Plan of Merger,  dated as of February 20,
2006 (the "Merger Agreement"),  which contemplates the execution and filing on
May 2, 2006 of the Articles of Merger with the Maryland  State  Department  of
Assessments  and Taxation and a  Certificate  of Merger with the  Secretary of
State of the State of Delaware  providing  for the merger of MeriStar with and
into Successor (the "Merger"),  with Successor  continuing its existence under
Delaware law;

         WHEREAS,  Section 5.1 of the Indenture provides,  among other things,
that  MeriStar  shall  not be  prevented  from  merging  with or into  another
corporation,  Person  or  entity  PROVIDED  that,  among  other  things,  such
corporation,  Person or entity into which  MeriStar  shall have  merged  shall
assume upon any such  merger,  all of the  obligations  of MeriStar  under its
Guarantee of the Notes and the Indenture pursuant to a supplemental indenture;

         WHEREAS,  Section 9.1 of the Indenture provides,  among other things,
that, the Issuers,  any Guarantors and the Trustee may amend or supplement the
Indenture and any Guarantee with respect to the Notes,  without the consent of
any Holder, for one or more of the following purposes:  (i) to provide for the
assumption of MeriStar's  obligations  under its Guarantee of the Notes in the
case of a merger  involving  MeriStar  pursuant to Article 5 of the Indenture;
and (ii) to make any change that does not adversely affect the legal rights of
Holders under the Indenture;

         WHEREAS, each of the Issuers, MeriStar, the Subsidiary Guarantors and
Successor have been authorized by resolutions of their General Partner,  Board
of Directors or Members,  as the case may be, to enter into this  Supplemental
Indenture; and



         WHEREAS, all acts, conditions, proceedings and requirements necessary
to make this  Supplemental  Indenture  a valid,  binding  and legal  agreement
enforceable in accordance with its terms for the purposes expressed herein, in
accordance with its terms, have been duly done and performed.

         NOW,  THEREFORE,  in  consideration of the premises and the covenants
and agreements contained herein, and for other good and valuable consideration
the  receipt  of which is hereby  acknowledged,  the  Issuers,  MeriStar,  the
Subsidiary Guarantors, Successor and the Trustee hereby agree as follows:

                                   ARTICLE I

REPRESENTATIONS OF MERISTAR AND SUCCESSOR

         1.1.     MeriStar represents and warrants to the Trustee as follows:

         (a)      MeriStar is a Maryland  corporation duly organized,  validly
existing and in good standing under the laws of the State of Maryland.

         (b)      The  execution,  delivery  and  performance  by it  of  this
Supplemental  Indenture  have been  authorized  and approved by all  necessary
corporate action on its part.

         1.2.     Successor represents and warrants to the Trustee as follows:

         (a)      Successor is a limited  liability  company  duly  organized,
validly existing and in good standing under the laws of the State of Delaware.

         (b)      The  execution,  delivery  and  performance  by it  of  this
Supplemental  Indenture  have been  authorized  and approved by all  necessary
limited liability company action on its part.

         1.3.     Each of the Subsidiary Guarantors represents and warrants to
the Trustee as follows:

         (a)      It is duly organized, validly existing and in good standing
under its jurisdiction of organization.

         (b)      The  execution,  delivery  and  performance  by it  of  this
Supplemental  Indenture  have been  authorized  and approved by all  necessary
company or partnership action, as applicable, on its part.

         1.4.     Each of MeriStar and  Successor  represents  and warrants to
the Trustee that upon the later of the filing and acceptance for record by the
Maryland State  Department of  Assessments  and Taxation and the filing of the
Certificate  of Merger with the Secretary of State of the State of Delaware or
at such other time thereafter as is provided  therein (the "Effective  Time"),
the  Merger  will be  effective  in  accordance  with the terms of the  Merger
Agreement and applicable law.



                                  ARTICLE II

                           ASSUMPTION AND AGREEMENTS

         2.1.     In accordance  with Section 5.1 of the Indenture,  Successor
hereby  expressly  assumes  all of  the  obligations  of  MeriStar  under  its
Guarantee of the Notes and the Indenture.

         2.2.     Pursuant to Section 5.2 of the  Indenture,  Successor  shall
succeed to, and be substituted for, and may exercise every right and power of,
MeriStar  under the  Indenture  and its  Guarantee  of the Notes with the same
effect as if Successor had been named as "the Parent" in the Indenture and the
Notes;  and thereafter  MeriStar shall be relieved of all further  obligations
and covenants under the Indenture and its Guarantee of the Notes.

                                  ARTICLE III

                                  AMENDMENTS

         The references in:

         3.1.     The  preambles to the  Indenture  to  "MeriStar  Hospitality
Corporation, a Maryland corporation (the "Parent")" are hereby amended to read
"Alcor Acquisition LLC, a Delaware limited liability company ("Alcor")";

         3.2.     Section  11.2 to the  addresses  for notices for each of the
Issuers and MeriStar are hereby amended to read:

         "If to any Issuer:

         MeriStar Hospitality Operating Partnership, L.P.
         c/o Blackstone Real Estate Partners V L.P.
         345 Park Avenue
         New York, NY 10154
         Attention: Kenneth A. Caplan
         Telecopier No.: (212) 583-5202

         With a copy to:

         Simpson Thacher & Bartlett LLP
         425 Lexington Avenue
         New York, NY 10017
         Attention:  Brian M. Stadler, Esq.
                        Andrew R. Keller, Esq.
         Telecopier No.: (212) 455-2502"



         "If to Alcor:

         Alcor Acquisition LLC



         c/o Blackstone Real Estate Partners V L.P.
         345 Park Avenue
         New York, NY 10154
         Attention: Kenneth A. Caplan
         Telecopier No.: (212) 583-5202

         With a copy to:

         Simpson Thacher & Bartlett LLP
         425 Lexington Avenue
         New York, NY 10017
         Attention:  Brian M. Stadler, Esq.
                        Andrew R. Keller, Esq.
         Telecopier No.: (212) 455-2502"

         3.3.     Each other  reference in the Indenture and the Notes to "the
Parent" shall be amended and deemed to be a reference to "Alcor".

         3.4.     Except as amended hereby,  the Indenture,  the Notes and the
Guarantees of the Notes are in all respects ratified and confirmed and all the
terms thereof shall remain in full force and effect and the  Indenture,  as so
amended, shall be read, taken and construed as one and the same instrument.

                                  ARTICLE IV

                                 MISCELLANEOUS

         4.1.     This Supplemental Indenture shall become effective as of the
Effective Time.

         4.2.     The  internal  law of the State of New York shall govern and
be used to construe this Supplemental Indenture.

         4.3.     The   parties   may  sign  any  number  of  copies  of  this
Supplemental Indenture. Each signed copy shall be an original, but all of them
together represent the same agreement.

         4.4.     The Article  headings  herein are for  convenience  only and
shall not affect the construction hereof.

         4.5.     If any  provision  of this  Supplemental  Indenture  limits,
qualifies or conflicts with any provision of the Trust  Indenture Act that may
not be so limited,  qualified or conflicted  with,  such provision of such Act
shall control.  If any provision of this  Supplemental  Indenture  modifies or
excludes any  provision of the Trust  Indenture Act that may be so modified or
excluded,  the provision of such Act shall be deemed to apply to the Indenture
as so modified or to be excluded by this Supplemental  Indenture,  as the case
may be.

         4.6.     In case any provision in this  Supplemental  Indenture shall
be  invalid,   illegal  or   unenforceable,   the   validity,   legality   and
enforceability of the remaining provisions shall not in any way be affected or
impaired thereby.



         4.7.     Nothing in this Supplemental Indenture, the Indenture or the
Notes,  express or implied,  shall give to any person,  other than the parties
hereto and thereto  and their  successors  hereunder  and  thereunder  and the
Holders of Notes, any benefit of any legal or equitable right, remedy or claim
under the Indenture, this Supplemental Indenture or the Notes.






         IN WITNESS WHEREOF,  the parties hereto have caused this Supplemental
Indenture to be duly executed, all as of the date first above written.



                                        ISSUERS:

                                        MERISTAR HOSPITALITY OPERATING
                                        PARTNERSHIP, L.P., a Delaware
                                        limited partnership

                                        By:  MeriStar Hospitality Corporation,
                                        as general partner


                                        By   /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:  Bruce G. Wiles
                                             Title:  President



                                        MERISTAR HOSPITALITY FINANCE
                                        CORP. a Delaware corporation


                                        By   /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:  Bruce G. Wiles
                                             Title:  President



                                        PARENT:

                                        MERISTAR HOSPITALITY CORPORATION,
                                        a Maryland corporation


                                        By   /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:  Bruce G. Wiles
                                             Title:  President




                                        SUCCESSOR:

                                        ALCOR ACQUISITION LLC, a Delaware
                                        limited liability company


                                        By:  /s/ Kenneth A. Caplan
                                             ----------------------------------
                                             Name:   Kenneth A. Caplan
                                             Title:  Managing Director and
                                                     Vice President




                                        SUBSIDIARY GUARANTORS:

                                        MERISTAR LP, L.L.C., a Nevada limited
                                        liability company


                                        By   /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:  Bruce G. Wiles
                                             Title:  President


                                        MERISTAR HOTEL LESSEE, INC., a Delaware
                                        corporation


                                        By   /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:  Bruce G. Wiles
                                             Title:  President


                                        AGH PSS I, INC., a Delaware corporation


                                        By   /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:  Bruce G. Wiles
                                             Title:  President


                                        MERISTAR ACQUISITION COMPANY, L.L.C., a
                                        Delaware limited liability company

                                        By:  MeriStar Hospitality Operating
                                             Partnership, L.P., a Delaware
                                             limited partnership, member

                                             By:  MeriStar Hospitality
                                                  Corporation, a Maryland
                                                  corporation, general partner


                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President



                                        AGH UPREIT LLC, a Delaware limited
                                        liability company

                                        By:  MeriStar Hospitality Operating
                                             Partnership, L.P., a Delaware
                                             limited partnership, member

                                             By:  MeriStar Hospitality
                                                  Corporation, a Maryland
                                                  corporation, general partner


                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President


                                        MERISTAR SUB 4C, L.P.
                                        MERISTAR SUB 4F, L.P.
                                        MERISTAR SUB 4E, L.P.
                                        MERISTAR SUB 4H, L.P.
                                        MERISTAR SUB 4B, L.P.
                                        MERISTAR SUB 1D, L.P.
                                        MERISTAR SUB 1C, L.P.. each a Delaware
                                        limited partnership

                                        By:  MeriStar Hospitality Operating
                                             Partnership, L.P., a Delaware
                                             limited partnership, member

                                             By:  MeriStar Hospitality
                                                  Corporation, a Maryland
                                                  corporation, general partner


                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President



                                        MERISTAR SUB 7H, L.L.C.
                                        MERISTAR SUB 1B, L.L.C.
                                        MERISTAR SUB 7G, L.L.C.
                                        MERISTAR SUB 6J, L.L.C.
                                        MERISTAR SUB 6K, L.L.C.
                                        MERISTAR SUB 6I, L.L.C.
                                        MERISTAR SUB 3D, L.L.C.
                                        MERISTAR SUB 5R, L.L.C.
                                        MERISTAR SUB 5A, L.L.C.
                                        MERISTAR SUB 6G, L.L.C.
                                        MERISTAR SUB 3A, L.L.C.
                                        MERISTAR SUB 1A, L.L.C.
                                        MERISTAR SUB 5E, L.L.C.
                                        MERISTAR SUB 5D, L.L.C.
                                        MERISTAR SUB 4J, L.L.C.
                                        CAPSTAR CHERRY HILL COMPANY, L.L.C.
                                        MERISTAR SUB 6C, L.L.C.
                                        MERISTAR SUB 4D, L.L.C.
                                        MERISTAR SUB 6E, L.L.C.
                                        MERISTAR SUB 6D, L.L.C.
                                        MERISTAR SUB 7E, L.L.C.
                                        MERISTAR SUB 3C, L.L.C.
                                        MERISTAR SUB 7F, L.L.C.
                                        MERISTAR SUB 7D, L.L.C.
                                        MERISTAR SUB 8E, L.L.C.
                                        MERISTAR SUB 8C, L.L.C.
                                        MERISTAR SUB 6B, L.L.C.
                                        MERISTAR SUB 6A, L.L.C.
                                        MERISTAR SUB 6F, L.L.C.
                                        MERISTAR SUB 8B, L.L.C.
                                        MERISTAR SUB 5K, LLC
                                        MERISTAR SUB 5H, LLC
                                        MERISTAR SUB 2A, LLC
                                        MERISTAR SUB 8G, LLC, each a Delaware
                                        limited liability Company

                                        By:  MeriStar Hospitality Operating
                                             Partnership, L.P., a Delaware
                                             limited partnership, member

                                             By:  MeriStar Hospitality
                                                  Corporation, a Maryland
                                                  corporation, general partner

                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President







                                        MERISTAR SUB 6L, LLC, a Delaware limited
                                        liability company

                                        By:  AGH UPREIT LLC,
                                             a Delaware limited liability
                                             company, member

                                             By:  MeriStar Hospitality Operating
                                                  Partnership, L.P., a Delaware
                                                  limited partnership, member

                                                  By:  MeriStar Hospitality
                                                       Corporation, a Maryland
                                                       corporation, member

                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President

                                        MeriStar Hospitality Operating
                                        Partnership, L.P., a Delaware limited
                                        partnership, member

                                        By:  MeriStar Hospitality Corporation,
                                             a Maryland corporation, general
                                             partner

                                             By: /s/ Bruce G. Wiles
                                                 ------------------------------
                                                 Name:   Bruce G. Wiles
                                                 Title:  President



                                        MDV LIMITED PARTNERSHIP, a Texas limited
                                        partnership
                                        MERISTAR SUB 4A, LTD., a Texas limited
                                        partnership
                                        MERISTAR SUB 5G, LIMITED PARTNERSHIP, a
                                        Florida limited partnership
                                        MERISTAR SUB 6H, L.P., a Delaware
                                        limited partnership

                                        By:  AGH UPREIT LLC,
                                             a Delaware limited liability
                                             company, their general partner

                                             By: MeriStar Hospitality Operating
                                                 Partnership, L.P., a Delaware
                                                 limited partnership, member

                                                 By: MeriStar Hospitality
                                                     Corporation, a Maryland
                                                     corporation, general
                                                     partner

                                                 By   /s/ Bruce G. Wiles
                                                      ------------------------
                                                      Name:  Bruce G. Wiles
                                                      Title:  President





                                        MERISTAR SUB 6M COMPANY, a Maryland
                                        general partnership

                                        By:  MeriStar Sub 6A, L.L.C.,
                                             a Delaware limited liability
                                             company, partner

                                        By:  MeriStar Hospitality Operating
                                             Partnership, L.P., a Delaware
                                             limited partnership, member

                                             By:  MeriStar Hospitality
                                                  Corporation, a Maryland
                                                  corporation, general
                                                  partner

                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President

                                        MeriStar Sub 6F, L.L.C.,
                                        a Delaware limited liability company,
                                        partner

                                             By:  MeriStar Hospitality Operating
                                                  Partnership, L.P., a Delaware
                                                  limited partnership, member

                                                  By:  MeriStar Hospitality
                                                       Corporation, a Maryland
                                                       corporation, general
                                                       partner

                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President





                                        MERISTAR SUB 7A JOINT VENTURE, an Ohio
                                        general partnership

                                        By:  AGH UPREIT LLC,
                                             a Delaware limited liability
                                             company, partner

                                             By:  MeriStar Hospitality Operating
                                                  Partnership, L.P., a Delaware
                                                  limited partnership, member

                                                  By:  MeriStar Hospitality
                                                       Corporation, a Maryland
                                                       corporation, member

                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President


                                        MeriStar Hospitality Operating
                                        Partnership, L.P., a Delaware limited
                                        partnership, member

                                        By:  MeriStar Hospitality Corporation,
                                             a Maryland corporation, general
                                             partner

                                             By:  /s/ Bruce G. Wiles
                                                  -----------------------------
                                                  Name:   Bruce G. Wiles
                                                  Title:  President



                                        MERISTAR SUB 8F, LTD., a Texas general
                                        partnership

                                        By:  MeriStar Sub 8G, LLC
                                             a Delaware limited liability
                                             company, its general partner

                                             By:  MeriStar Hospitality Operating
                                                  Partnership, L.P., a Delaware
                                                  limited partnership, its
                                                  managing member

                                                  By: MeriStar Hospitality
                                                      Corporation, a Maryland
                                                      corporation, its general
                                                      partner


                                                  By   /s/ Bruce G. Wiles
                                                       ------------------------
                                                       Name:  Bruce G. Wiles
                                                       Title:  President


                                        MERISTAR HOSPITALITY FINANCE CORP. II,
                                        a Delaware corporation


                                        By:  /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:   Bruce G. Wiles
                                             Title:  President



                                        MERISTAR HOSPITALITY FINANCE CORP. III,
                                        a Delaware corporation


                                        By:  /s/ Bruce G. Wiles
                                             ----------------------------------
                                             Name:   Bruce G. Wiles
                                             Title:  President





                                        Effective   as   to   the    following
                                        Guarantor as of the effective  time of
                                        the merger of MeriStar Sub 5G, Limited
                                        Partnership into MeriStar Sub 5G, LP:

                                        MERISTAR SUB 5G, LP, a Delaware
                                        limited partnership

                                        By:  ALCOR GP LLC, a Delaware limited
                                        liability company, general partner

                                        By:  /s/ Kenneth A. Caplan
                                             ----------------------------------
                                             Name:   Kenneth A. Caplan
                                             Title:  Managing Director and
                                                     Vice President





                                        U.S. BANK TRUST NATIONAL ASSOCIATION,
                                        as Trustee


                                        By:  /s/ Angelita Pena
                                             ----------------------------------
                                             Name:   Angelita Pena
                                             Title:  Assistant Vice President