St John the Baptist Catholic Church of L'erable, Illinois (FHL 977.364/k2m; Transcription) (495 in original document.)
" 21 Aug 1864 baptism of Maurice Sullivan by Fr. Cote, 10 Aug 1864 born to Timothy Sullivan and Eleone Kane, Godparents: Daniel Sullivan and Mary Flint."
Notice the names of the godparents. Daniel Sullivan is probably Timothy's father or brother. We need to identify Mary Flint, probably her maiden name (if the record keeper is consistent.) She might also be related. (Might she be Mary Flynn Kane, the wife of John Kane--Mary born 1814 in Ireland?)