Exhibit 23.1 CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS We consent to the reference to our firm under the caption "Experts" and to the use of our report dated February 12, 2004 (except for Note 18 as to which the date is March 31, 2004), in the Registration Statement and related Prospectus of First Ipswich Bancorp. /s/ WOLF & COMPANY, P.C. Boston, Massachusetts May 3, 2004