Hi
That link certainly makes interesting reading. As well as that daughter, there is the marriage of a son to Thomas as well on Ancestry, Robert Thomas Gibson, a Carpet Weaver, son of Thomas Gibson, Coach Lace Weaver, married an Emma Brick St Pancras Oct 23 1843'
Thomas died in the Workhouse in 1885, so clearly there were no enduring riches from the coach lace business for him either. Incidently the surname 'Slatter' of his second wife, is also the surname of one of the witnesses of your Frederick Gibsons second marriage to Mary Jane, which seems to further confirm the close links.
Thomas gives St Giles in the Fields as his birth place and this is where John is living too in 1841. There is a Thomas and Ann Gibson baptising children in that parish, with a John that would fit
Robert Gibson Baptism 8 Jun 1800 St Giles in The Fields, London
Ann Gibson Baptism 8 Nov 1801 St Giles in The Fields, London
John Gibson Baptism 7 Aug 1803 St Giles in The Fields, London
Sarah Gibson Baptism 24 Mar 1805 St Giles in The Fields, London
Of course John claims to have been born in Surrey on the census, but possible he was perhaps born at his mothers parents home, and baptised back where the family lived. No baptism for Thomas that I can find there though, which might have helped proved that theory a little further.