I think a good candidate for Thomas may be the Thomas John Smith Bissell who was baptised to Thomas and Elizabeth on 11 May 1789 at Halesowen, the same village where you have surmised that he was married. That baptism record is indexed at FamilySearch:
"England Births and Christenings, 1538-1975," database, FamilySearch
(https://familysearch.org/ark:/61903/1:1:NPRY-2HM : 30 December 2014),
Thomas John Smith Bissell, 11 May 1789; citing
HALESOWEN,WORCESTER,ENGLAND, reference ; FHL microfilm 886,632,
This would make him aged about 24 when you say he was married based on the baptism date of his first child. I think it would be hard to find a better candidate, especially because his father was named Thomas like he named his first son.
However, on Ancestry.com I have found a marriage record for Thomas John Smith Bissell and Charlotte Powell on 28 Nov 1814 at Halesowen so unless you have the wrong mother for your ancestor it would appear that this cannot be the correct father.
I think you should re-examine and present the evidence that led you to believe that Thomas and Sarah Bissell were the parents of your ancestor. If that is strong then at least we can be confident about the case for discarding Thomas John Smith Bissell and Charlotte Powell as candidates for being your ancestors before we do that.