Not sure which of this you may already have, but here goes.
1871 - the family is in Wellingore, details available if you don't have them
1881 - Elizabeth is listed as Head, with daughter Sarah age 23, John 14, Frederic age 12, and grandson Hebert age 1.
1891 - also in Wellingore, Elizabeth is still listed as head, but this time only with grandson Hebert, age 11. Sarah, the daughter who is now 33 appears to be a lodger in Nottingham, the age is obscured by a mark, but the birthplace is correct. There is no sign that I can find of John, who would be 24.
1901 - John reappears with Alice as his wife and children in Derbyshire, ages and birthplace correct.
As for the 1891, I even went through the Wellingore section page by page, as with the Sandiacre section form Derbyshire thinking that maybe they has transcribed the name wrong, but I did not find him.
Susanne