Jimmy Brogan
Lloyd's Weekly London Newspaper (15.11.91)
Jimmy Brogan scored 6 goals on his debut in senior football in 1883 (Hibernian beating Edina 10-1 in the Scottish Cup). Brogan joined Heart of Midlothian the following season and then moved to Bolton Wanderers in 1884. He joined Bolton after appearing for Heart of Midlothian in a Boxing Day friendly against Blackburn Rovers.
I don't have access to statistics from thre pre Football League years, but from 1888-92 Brogan made 82 first team appearances for Bolton , scoring 30 goals.