

Although they had a daughter named Thomasine, it can't be this one.
Aside from the fact that this particular "Thomasine Bassett" and her husband are 50 years their elder (and her son 20 years their elder), Thomasine the daughter of Sir John Basset and Elizabeth Denys was not known to have ever married.
Also the source provided in the About is 100% irrelevant to either herself or her husband as presented here (look at the timeframe, for one thing). https://www.google.com/books/edition/Burke_s_Genealogical_and_Heral...
Also our Bassetts are a Cornish / Devonshire family, not Staffordshire.
Our Thomasine Bassett is referenced frequently in the Lisle Letters, however I can only find two of the six volumes available to read online (volumes 4 and 6). Thomasine is referenced in volumes 1, 3, and 4 (in volume 6 she is only found in the index). In volume 4 she is mentioned only in the official text of "the Great Indenture", a legal document between her father and Giles Daubeney, which was to recover the Beaumont inheritance but only if either Thomasine or her sister Ann (Bassett) Courtenay were to marry Henry Daubeney. That marriage never took place, and it was many years and court battles later before the property was finally recovered for their step-brother, Sir John Bassett IV.
Of our Thomasine Bassett, Wikipedia says:
Thomasine Basset (d.1536). As a child she had been sent by her father, together with her sister Anne, to live in the household of Giles Daubeney, 1st Baron Daubeney (1451–1508), under a special agreement entered into in 1504, referred to by the family as the "Great Indenture". This specified that Daubeney would pay about £2,000 for the recoveries of Basset's Beaumont inheritance on condition that one of the Basset daughters and co-heiresses would marry Daubeney's son Henry Daubeney (1493–1548), on whom the lands were entailed.
The marriage never took place. It is not known if she ever married.
Aged in her 40s, she lived with her blood-sister Jane Basset at Umberleigh whilst Lady Lisle was away at Calais, but as was reported in one of Jane's letters, ran away early one morning to her sister Margaret's house at Marrys.
Wood (1846) suggested an elopement had occurred, discounted by Byrne who suggested she was perhaps fleeing from her domineering sister Jane.
Jane saw it as a conspiracy by Thomasine and the servants to persuade her to leave too. Thomasine became ill at Marrys and was apparently on her way back to Umberleigh when she died 18 months later at Dowland on the Friday before Palm Sunday 1536.
https://en.wikipedia.org/wiki/John_Basset_(1462%E2%80%931528)
https://archive.org/details/lisleletters0006unse/page/323/mode/1up?...
https://archive.org/details/lisleletters0004unse/page/96/mode/1up?q...
In the abridged version of the Lisle Letters published by University of Chicago Press (1983), both Jane and Thomasine are clearly described as "unmarried".
https://archive.org/details/lislelettersabri1983unse/page/252/mode/...
There was a merge in 2020, since reversed, with the misassigned Thomasine Okeover as daughter of a "Ralph Bassett". However the profile for Ralph Bassett has since been deleted.
https://www.geni.com/merge/view?revision_id=78549794200
In any case, I don't know at this time who her real parents were. But it is obvious "Thomasine (Bassett) Okeover" of Staffordshire should be disconnected from our Cornwall / Devonshire Bassetts, and a corrected version of the unmarried Thomasine created in replacement.
I detached time traveling Thomasine Okeover as daughter of Sir John Basset, Kt. & Elizabeth Basset
Did you want to go ahead and create their daughter Thomasine? Advise when done and ask to make MP so they don’t get mixed up again.
MP made for Thomasine Bassett
Added at the top of the about:
Not the same as Thomasine Okeover daughter of Ralph Basset
And added to the useful project:
https://www.geni.com/projects/Unmarried-Women-Maiden-Ladies-Old-Maids/957979