Here's your family in the 1881 census:-
Household:
Name Relation Marital Status Gender Age Birthplace Occupation Disability
Thomas MORGAN Head M Male 34 Near Montgomery, Wales Bricklayer
Margaret MORGAN Wife M Female 27 Chirbury, Shropshire, England
Thomas Melville MORGAN Son Male 2 Manchester
Rose Lillian MORGAN Dau Female 1 Liverpool
Rebecca LEMON Boarder U Female 48 Liverpool Milliner
Source Information:
Dwelling 1 Dacre St
Census Place West Derby, Lancashire, England
Family History Library Film 1341888
Public Records Office Reference RG11
Piece / Folio 3709 / 41
Page Number 28