Hello There.....
I think it likely, that the family on the 1861 census, that Karenlee gave you is the correct one.
I have found a baptism for HENRY WELCH.....
Born February 4th 1828, baptised on the 18th, at St Mary the Virgin, Radcliffe
Father Thomas WELCH, Mother ANN
There is a marriage at the same church, on November 3rd 1823, between a Thomas WELSH and a Ann LORD
JeannieR