It seems we share this ancestor. Thomas Norris is my Gr. Gr. Grandfather. My Grandfather was William Bingham son of William & Mary Bingham, nee Norris. Mary is the daughter named in Thomas's Will.
I like to believe, although have no proof, that Thomas died in hospital (workhouse). He certainly had plenty of relatives.
I do have family information & a Norris "cousin" contact. Send me a personal mail, if you wish.
Valsgirl, Brisbane Australia.