I'm not sure why you indicate her parents cannot be Benjamin & Lucy?
New York Births and Christenings, 1640-1962, database, FamilySearch (https://familysearch.org/ark:/61903/1:1:V2CW-C1L ), Sarah Satterley Morse, 1826; citing FIRST PRESBYTERIAN CHURCH,CHENANGO POINT,BROOME,NEW YORK, reference ; FHL microfilm 851,118
||Sarah Satterley Morse|
||FIRST PRESBYTERIAN CHURCH,CHENANGO POINT,BROOME,NEW YORK|
PS this couple also had Morse children: Betsey Pameia: Hannah Whitney; Franklin; Waterman etc. etc. christened at the same location
He is living with son Waterman in 1850:
United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MXQ2-M61), Benjamin Morse in household of Waterman Morse, Elyria town, Lorain, Ohio, United States; citing family 1923, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).