1 Exhibit 3.126 CERTIFICATE OF AMENDMENT TO THE CERTIFICATE OF LIMITED PARTNERSHIP OF 75 ARLINGTON HEIGHTS LIMITED PARTNERSHIP, L.P. The undersigned, desiring to amend the Certificate of Limited Partnership of 75 Arlington Heights Limited Partnership, L.P. pursuant to the provisions of Section 17-202 of the Revised Uniform Limited Partnership act of the State of Delaware, does hereby certify as follows: FIRST. The name of the Limited Partnership is 75 Arlington Heights Limited Partnership, L.P. SECOND: Article 3 of the Certificate of Limited Partnership shall be amended as follows: MeriStar Hospitality Operating Partnership, L.P., whose office is located at 1010 Wisconsin Avenue, NW, Washington, DC 20007, is the new general partner of 75 Arlington Heights Limited Partnership, L.P. IN WITNESS WHEREOF, the undersigned executed this Amendment to the Certificate of Limited Partnership on this Twenty-Sixth day of October, 1999. 75 Arlington Heights Limited Partnership, L.P. By: /s/ Christopher L. Bennett ------------------------------------- Christopher L. Bennett, VP Legal, MeriStar Hospitality Operating Partnership, LP 2 CERTIFICATE OF LIMITED PARTNERSHIP OF 75 ARLINGTON HEIGHTS LIMITED PARTNERSHIP, L.P. The undersigned, desiring to form a limited partnership under the laws of the State of Delaware, does hereby certify as follows: 1) The name of the limited partnership is 75 Arlington Heights Limited Partnership, L.P. 2) The address of the registered office of the limited partnership is 1209 Orange Street, in the City of Wilmington, in the County of New Castle, Delaware. The name of the limited partnership's registered agent is The Corporation Trust Company and its address is 1209 Orange Street, in the City of Wilmington, in the County of New Castle, Delaware. 3) The name and mailing address of the Sole General Partner of the limited partnership is: Name Address ---- ------- AGH 75 Arlington Heights LLC c/o American General Hospitality Corporation 3860 W. Northwest Highway, Suite 300 Dallas, TX 75220 3 Dated: February 17th, 1997. SOLE GENERAL PARTNER: AGH 75 Arlington Heights LLC By: American General Hospitality Corporation, a member By: /S/ KENNETH E. BARR ------------------------------- Name: Kenneth E. Barr Title: Executive Vice President By: American General Hospitality Operating Partnership, L.P., a member By: AGH GP, Inc., its general partner By: /S/ KENNETH E. BARR ------------------------------- Name: Kenneth E. Barr Title: Executive Vice President