That’s  the Leeds one though, isn’t it, not the Salford/Manchester one. 
Are you thinking they could be the same person?
There's a surprising number of Fenton / Finton Moores about
One in Edinburgh, Scotland in 1851
Denis Moore Head 36   b abt 1815 b Ireland
Ridget (sic) Wife 33   1818   b Ireland  (probably meant to be Bridget)
Mary Ann Moore Daughter   11   1840   b Ireland
Rose   Moore Daughter   5   1846   b Kirkcudbright, Kirkcudbrightshire, Scotland
Catharine   Moore Daughter 3 b abt1848   b Scotland
Anthony Moore Brother   Married      20   1831   b Ireland
Fenton Moore Nephew   Unmarried    20   1831   b Ireland
From ages this Fenton would be son of Denis and Anthony's older brother.
The Leeds Fenton has a mother born in Air (sic) Scotland. Maybe this is the same one.