Previous query was all wrong. The 1790 and 1800 Census records show John McQueen Jr, and Catherine McQueen. John McQueen, Jr.'s father was called Peter McQueen. Peter was married to Catherine Gault (daughter of Alexander Gault and Rachel Fenton). Peter drown himself in the mill pond at Fitch's Point when his sons Alexander, John Jr. and Daniel were accused of stealing from a mill. I believe Peter also had a son Peter Jr. from whom I descend. After the death of Peter Sr., Alexander and John Jr. moved to the town of Milton. Peter and Daniel moved to Camillus, Onondaga County, NY and are living with the Bowman and Lamberson families, respectively.
John Jr.'s wife was Pricilla Martin and she is buried at Leavens Cemetery, Lake Luzerne, Warren County, New York. Photo of grave marker is posted on findagrave.com