Little conflict on birthdate of 1801 vs 1811, the latter on the ships landing records on immigration clearance Port of Philadelphia.
"Pennsylvania, Philadelphia Passenger Lists Index, 1800-1906," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:QV9Y-KW7T : 19 February 2021), George McAdoo and un-named or listed "family", 9 June 1846; citing ship Halcyon, NARA microfilm publication M360 (Washington, D.C.: National Archives and Records Administration, n.d.); FHL microfilm 419,512. Age of George reported as 35 for a birthdate of 1811 instead of 1801 as other records reflect. Occupation farmer. Arrival Port of Philadelphia. From other members of the family it appears origin was Barony of Raphoe in County Donegal, Ulster, Ireland. Probably departing from Port of Londonderry. Family members onboard seem to include wife Sarah Elizabeth Fletcher McAdoo, son William Fletcher McAdoo, and four daughters Mary Jane, Sarah F., Esther, and Catherine.
Find A Grave: Memorial #138526452 George McAdoo. Buried: Rocky Glen Cemetery, Adamsville, Crawford County, Pennsylvania. Photo of large tombstone with wife, hard to read.