Here is the 1891 you asked for
But it wont tell you Kate's dad. She appears to have been illegitimate. As I said, Emma was single.
Unlikely you will ever find her fahter, unless he is named on either the birth cert (babyboy has given you the ref) or a christening record. More likely though it is a secret that Emma took to her grave, or only shared by word of mouth.
RG12 983 125 5
The Village, West Ilsley
ELiza FArris 48 widow Ag lab bn Compton
George E son 30 unm Shepherd bnCompton
Emma dtr 28 unm bn Compton
William 16 son unm CArter bn West Ilsley
Amos 12 son unm Shepherd bn W Ilsley
Rose 8 dtr bn W Ils.
Kate 4 grandtr bn W. Ils.
Edith 1 grandtr bn W. Ils.