Hi - Thomas was one of the many children of your ancestor Thomas and wife Jane, whose age was pretty consistent in censuses and his birth regt:
Name:CORKHILL, Thomas Registration district: Whitehaven
County:Cumberland
Year of registration:1874
Quarter of registration:Apr-May-Jun
Volume no:10b
Page no:630

I see he and his wife named a son after his brother Anthony in 1911.

The 1911 census has his wife Sarah "Lezziebeth" (Elizabeth?) married for 12 years, and their first son Thomas born in Burnley, Lancs.

1901 census household transcription Findmypast:

CORKHILL, Thomas Head Married M 26 1875 Coal Miner Below Ground, Whitehaven, Cumberland
CORKHILL, Elizabeth Wife Married F 21 1880 Workington, Cumberland
CORKHILL, Thomas Son M 0 (1 MOS) 1901 Burnley, Lancashire
Piece: 3862
Folio: 98
Page: 32
Registration District: Burnley
Civil Parish: Burnley
Municipal Borough:
Address: 25, Cannon Street, Burnley
County: Lancashire

Sue