Terry
I fear you might be wasting your time with the PR trees as you'll still have to check whatever you're told with the parish register. The marriage was said to have taken place at St Mary Warwick, whose marriages have been extracted onto the IGI, and it's not there. So you first need to see if that marriage is real and what other detail it provides eg parish of residence and witnesses. Then you need to check the same parish register for Thomas' baptism. I think both trees are wrong - the other one has invented a baptism in Hitchin for him, so they obviously have no link to his alleged parents, Robert & Lydia, other than him naming one of his Hitchin daughters Lydia. Both trees should be filed under F................Fiction
The LDS pilot seems to have Warwick St Mary baptisms as Thomas and Sarah baptised Elizabeth there on 9 Oct 1763. They also baptised Sarah and Ann there on 16 Jun 1765. Ann was buried on 25 June and Sarah on 29 June. Unfortunately it seems to be one of the LDS's female only batches so I can't see if there's a baptism of Thomas.
Robert and Sarah baptised three children at Warwick, two at Southill, and four at Hitchin, including their last son, Decimus. If he was the tenth there's one short!