Having recently had a book* published on Tom Sayers, I greatly regret that I have only just found this fascinating website. I haven't yet had time to digest everything that's here, but some admirable research has been done, especially by Kevlin, Valda and Roy G. (And Roy, it is you, isn't it? I'm trying to send you a copy of my book as promised, but my email has bounced.)
For my part, I have done my level best to sort out the details of Tom's miserable and tangled domestic life, ploughing through Census records and records of Births, Marriages and Deaths, and the results of my research are to be found in Chapters 3, 7 and 17 of my book.
It's all far too complex to relate in detail here, but I can confirm one or two things on this site, and rebut some others
Tom cohabited with, and later married, Sarah Henderson, not Sarah Powell. The name Powell, however, as Kevlin says, does make a mysterious appearance later in his story: I think the woman he lived with after his marriage broke up may have been named Powell, though she called herself Charlotte Sayers.
As for children, the Aldridge Sayers children were clearly not his, and my own opinion is that Tom had no offspring other than Tom and Sarah, both of whom were born to Tom senior and Sarah senior before they were actually married.
I follow the story through to 1868 (three years after Tom senior's death) when a court decided that his estate should go to the Aldridge Sayers children. In other words, there was a will, but his estranged wife saw to it that the estate went to her children by James Aldridge, not to those by Tom.
*The Lion and the Eagle (ISBN 978-1-899807-67-3) by Iain Manson, is published by SportsBooks in paperback at £14.99.