Thought I'd write down the Information I do have on Joseph Lockwood B for ease:
Married: Ann Rosindale on 25 Nov 1793 in St Peter's, Leeds, W.R.Yorks.
Children: Hannah Lockwood Barrett christened 9 Jul 1804 in St Peter's, Leeds; and Mary Ann Barrett x.same day and same place
Died: 1837 in Wakefield, W.R.Yorks possibly in Insane-poor asylum, but maybe a different person.
In regard to the possible christening record, its hard to guess his age, if we presume the asylum record is his it gives a possible date of 1766, and his marriage would make it the closest date about 1779, so anywhere between about 1760 and 1779, I presume in Yorkshire where these other events happened.
The John Lockwood B is interesting but thats in Manchester, in Lancashire, and the other st Mary parish is in Barnsley, in Yorkshire, unless they were Navvies they probably wouldn't move that far.
Thank you for all your effort, Joseph L seems to be a complicated person