Hi Gillian , I also can't get any Manx connection, Appears Thomas Iniff married Annie Bradley Dec Qtr 1876 in Liverpool , after the census 1881 , they seem to have Robert 1882, Thomas 1884 , Martha 1885 and Ada 1887 , maybe more. William aged 7 on 1881 may not be Annie's son , BUT I found next door in 1881
William Bradley 60 Widower b Chorley
John Bradley b Liverpool
Robert Bradley ditto
Eliza Bradley ditto

So if this is Annie's father , possible birth is

B 11/1/1857 , Ch 16/7/1858 in Liverpool to William Bradley and Martha Dobson , can't find any Martha Dobson being born on the IOM in the right period .

You need to buy birth and marriage certificates to confirm the possibilities

Cheers
David Dwyer
Sydney, NSW, Australia