Now you really have me interested !
In my direct line I have a Joseph Gartside who married a Martha Bradbury in 1832. They had a daughter called Alice who we no little about. This Alice was born in 1837, and we lose sight of after 1861....I believe the Alice you are talking about married in 1864 at Huddersfield.
Joseph and Martha were living in the Holmfirth area at the time of the marriage before moving to the Rochdale area by 1871.
I think we may have a fit so would love to hear more details. Can you maile me direct firstname.lastname@example.org