Well I visited the archives and managed to find the marriage certificate Was strange seeing their signatures. I discovered that Thomas's dad was called Thomas. His second name is spelt Birt but his son (who got married) is spelt Burt (it looks like they were writing Birt but then corrected it but not the dads spelling of the second name). Thomas's dad had died before the wedding so was not present.
Sarah's father was called Edward. So he was Edward Edwards

He was also dead before the marriage.
And thats where I have become stuck. Not sure where to go from here, warwickshire does not seem to have a searchable opc like the liverpool and lancashire one.