I now believe we are talking about two different people. Please review the following abstracts...

Journal of the Senate Jan. 5 1866]

Mr Howard presented a memorial of Sarah Fitzgibbon, widow of Major Fitzgibbon, of the 14th regiment Michigan infantry, praying a pension; which was referred to the committee on Pensions.

39th CONGRESS 1st Session S.82.
IN THE SENATE OF THE UNITED STATES
January 18, 1865
Mr. Lane, of Indiana, from the Committee on Pensions, reported the following bill; which was read and passed to a second reading.
A BILL Granting a pension to Sarah Fitzgibbon
Be it enacted by the Senate and House of Representatives of the United States of America in Congress assembled, That the Secretary of the Interior be, and he hereby is, authorized and directed to place the name of Sarah Fitzgibbon, widow of Thomas C. Fitzgibbon, late major of the fourteenth Michigan volunteer infantry, upon the pension rolls, at twenty-five dollars per month from the first day of May, one thousand eight hundred and sixty-five, subject to the limitations and restrictions now imposed by existing pension laws.