I assume this is the family in 1881:
1881 census on ancestry
Court 2, Sandy Lane, Skelmersdale, Lancashire
William Grimshaw Head Mar 27 Coal Miner Scotland
Anne Do Wife Mar 26 Lancashire Ormskirk
Annie Do Daug 4 Scholar Do Wigan
Mary S Do Daug 2 mo do Skelmersdale
Richard Robinson Boarder Unm 18 Coal Miner Do Ormskirk
I bet Richard is Anne's brother.