In 1871
Daniel, Dinah & Mary are in Botchergate, Carlisle and their surname is MELVILLE!
So..this birth. Perhaps.
MELVIN, MARY ANN MMN SHERRINGTON
GRO Reference: 1869 M Quarter in CARLISLE Volume 10B Page 441
And this might be John who was in the 1881 census
MELVILLE, JOHN SHERRINGTON
GRO Reference: 1871 S Quarter in CARLISLE Volume 10B Page 449
Added to say, the 1871 Daniel says he was born Tyrone, but it is dittoed from the Irish family next door, so care needed there.