Hi Alan
I have all the children's baptisms except one
James Seymour Smith - bap 6.8.1815 North Street, Bedminster St John
John Seymour Smith - bap 4.7.1817 St Mary Redcliffe
Sarah Smith - bap 21.9.1817 North Street, Bedminster St John
Mary Ann Seymour Smith - bap 10.6.1821. Paradise Row, Bedminster St John
Edward Smith - bap 22.8.1824 North Street, Bedminster St John
William Smith - bap 22.8.1824 North Street Bedminster St John
Mary Ann Smith - bap 27.3.1826 North Street Bedminster St John
Eliza Jane Smith - bap 10.12.1828 North Street Bedminster St John
Susanna Smith - bap 25.12.1829 St Mary Redcliffe
Walter Smith - cannot find
I have the family on the 1841 census minus James and Sarah, still living in North Street and saying they were born in County, cannot find parents on 1851 maybe died by then.
James changed his name somewhere along the line to Francis,
I do think the Seymour bit must come into it somewhere but not sure where.
, and John Seymour had 8 children and four of them had Seaman as their middle name, and then the son called John Seaman Smith born 1848, became John Smith, then he used his mothers maiden name and became John Keene, then legally changed his name to Keen-Smith, so they seem to like playing around with names!

I hope this makes sense, it might just look like a load of ramblings

Thanks for your interest
Charz