Hi there, thought I would try to help! So I found the birth record for Jabez,
"England and Wales Birth Registration Index, 1837-2008," database, FamilySearch(https://familysearch.org/ark:/61903/1:1:2X5J-FKW : 1 October 2014), Jabez Shaw Cooper, 1887; from "England & Wales Births, 1837-2006," database, findmypast (http://www.findmypast.com : 2012); citing Birth Registration, Sheffield, Yorkshire, England, citing General Register Office, Southport, England.
I take it he adopted the surname Neale? Was he fully adopted or is this his mothers second husband?
Where I'm confused is he wasn't born until 1887, yet you say his mother Tinker-519 was possibly separated by 1881 Census.
Did Francis remarry?
Could you give me a bit more clarity?
You can attach adoptive parents to the profile too if you click on add father again then follow the steps, read it carefully a tick/don't ticlk the relevant boxes!