It looks as if George was married twice - from 1881 his wife is Ann, but some of the children are on the earlier censuses with mother Elizabeth/Betsy.
1871:
RG10/4214; Folio 84; Page 8
Blacoe Farm, Walton le Dale
George Longworth - Head - 34 - Farmer of 45 Acres - b. Walton le Dale
Betsy Longworth - Wife - 32 - b. Wrea Green, Lancs
Ellen Longworth - Dau - 11 - b. Cottam, Lancs
Edmund Longworth - Son - 7 - b. Alston, Lancs
Margaret Longworth - Dau - 2 - b. Alston, Lancs
Ellen Hornby - Niece - 5 - b. Alston, Lancs
1861:
RG9/142; Folio 28; Page 12
Hackney Hobs, Alston, Lancs
George Longworth - Head - 23 - Farmer of 41 Acres - b. Walton le Dale
Elizabeth Longworth - Wife - 23 - b. Poulton, Lancs
Ellen Longworth - Dau - 1 - b. Cottam, Lancs
James Swarbrick - Serv - 15 - Farm Servant - b. Thornton, Lancs
Elizabeth Swarbrick - Serv - 11 - General Servant - b. Thornton, Lancs
1851:
HO107/2268; Folio 68; Page 19
Sutton House, Walton le Dale
John Longworth - Head - 63 - Farmer of 55 Acres - b. Walton le Dale
Margaret Longworth - Wife - 52 - b. Walton le Dale
Elizabeth Sharples - Wife's Dau - 28 - Power Loom Cotton Weaver - b. Walton le Dale
George Longworth - Son - 13 - b. Walton le Dale
Henry Longworth - Son - 11 - b. Walton le Dale
Mary Longworth - Dau - 7 - b. Walton le Dale
Rambler