Thanks for setting out so much information, but I’m afraid I’ve had no luck with taking your tree back further.
I’ve got stuck at Albert’s (b.Brighton 1828) father Francis!
I can find quite a few things about him, but nothing that leads to his parents. The 1851 & 1861 census give his age as 69 and 79 (born 1782) Marylebone.
I see there’s a Francis Thompson born 1782 in Marylebone - parents Francis and Ann. I can’t find anything to show that this was your Francis.
Were you able to connect him to the James and Jane you have as his parents? I think I need your help more than you need mine
Sorry I can’t help. Good luck