The details given for the family in the 1881 census appear to be the right ones.
The family are living in 6 Claude Road, West Derby.
Thomas Rowlands, Head, married, age 34, General Labourer, born Anglesey.
Mary Rowlands, wife, age 29, born Flintshire.
Elizabeth Rowlands, daughter, age 7, born Flintshire.
Jesse Rowlands, son, age 5, born Liverpool, Lancs.
Annie Rowlands, daughter, age 4, born Liverpool, Lancs.
Thomas Jones, married, Boarder, age 29, Engine Driver, mechanized Brick making (

) Born Caernarvonshire.
David G Hughes, Boarder, widr, age 27, House Joiner, born Anglesey.
There may have been links between Thomas Jones and David Hughes and this family.
It would help to find Thomas in the 1871 census in order to see if his place of birth is given more accurately.
Jo.