I had look on England Census on Ancestry.com for Thomas Jeffs and family.

Have located Thomas and members of his family from 1871 Census to 1901 Census. (He is listed as a Stonemason in all of them)
Look for a birth date of approx 1846 and a death date after 1901 for Thomas Jeffs. (census's gives a couple of locations in England where he was born)

No idea who his parents are.

His wife Esther Elizabeth Pierson may have died between 1889 and 1901 as Thomas is listed as a Widower in 1901 Census and their last known child Edward A. Jeffs was born abt. 1899.

PS I am slowly working on a name study of Jeffs around the world and would be interested in any new information you locate.