This 1881 family has the right ingredients (Leominster & Eye), altho the spelling for Phoebe is odd!
did they marry in 1851 ?
1881 census of Eye, Herefordshire - RG11; Piece: 2607; Folio: 38; Page: 2 'Moriton'
all the kids were born in Eye
William Cooke 55 Head born Middleton on the Hill: a Laborer
Phrole Cooke 49 Wife born Salop, Ashford
Fanney Cooke 14 dau
Caroline Cooke 11 dau
Arthur Cooke 7 son
Gertrude Cooke 5 dau
do you want them traced back on the census?