Hi Deb, Here is the information for David Farnworth and his family from the 1881 British Census.
ADDRESS, 4 BUTLER STREET, PRESTON, LANCS.
DAVID FARNWORTH, head, cotton manufacturer employing 90 hands, 53yrs. born Preston
LUCY FARNWORTH, wife, cotton manufacturer wife, 56yrs. born Kirkland Lancs.
JOSEPH FARNWORTH, son, widower, manager in cotton mill, 27yrs. born Preston
EDWARD JAMES FARNWORTH, son, unmarr. cloth looker in cotton mill, 24yrs. born Preston
ANDREW C. FARNWORTH, son, unmarr. House agent and coal merchant, 20yrs. born Preston
DAVID E. FARNWORTH, son, scholar, 14yrs. born Preston
Hope you find this information interesting and of use. Don't hesitate to e-mail me if you think I could be of any further assistance to you. I am pleased to see the FARNWORTH forum is taking off. Surprised there aren't many more messages on it but perhaps it is more of a local Lancashire surname.