What's worse, it looks as though he doesn't belong to either Lee of Coton *or* Lee of Langley. Humphrey Lee of Coton appears to have had only the one (surviving) son John (per 1623 Visitations).
There was a Thomas Lee of Langley, who married Jane (Joan) Corbet and had some ten children; he was the son of Fulk Lee of Langley and Alice Cornwall.
Lee of Wellington (probably no relation, completely different arms and a very short pedigree) yields a Sir Thomas Lee or Leigh, Marcer, Lord Mayor of London 1558; wife Alice Barker, descendants not followed.
Lee of Bridgnorth (another very short pedigree with radically different arms, explicitly a recent (1593) grant) yields another Lord Mayor of London (Sir Robert Lee, 1602) but no Thomases.
Leigh of Ellesmere contains some Thomases of dubious placement, and no other matching data.
-- And that's it for Lees and Leighs in the Visitations.