I would say in 1861 Francis and Sarah are likely to be the parents of the children.
(The census does not name the childrens' father as either, just that the children are grandchildren of the HEad of the House - their parents need not even be in the household! But seeing as George William is unmarried, and Francis and Sarah are married, and there is a small baby there, plus you have the children with Franci in another census, indicates they are fransis's)
RG9 2282 92 9
Barkby
Francis 69 head widower
Francis 37 son married
Sarah 35 dtr in law married
George William 35 son unmarried
Francis 12 grandson
George Wm 10 grandson
Sarah 9 grdtr
Joseph 7 grdson
Susanna 4 grnddtr
Thomas 2 grndson
Colin 1mth grndsn