I think that you need to retrace your steps carefully, starting from what you know because I don't think the census records for the same person. ( and 1916 census? middle of WW1 )
I traced George Egerton born c. 1850 through the censuses
1851 At age 1, a George Egerton born in Stone is a visitor in the home of George Molton, a farmer of the village of Barleston, Staffordshire. Sarah Egerton, aged 23, a butchers wife is also there, (we don't know at this point if Sarah is his mother or aunt etc), Christening above suggests could be mother)
HO107; Reg dist. Stone, Staffs, En dist 1,Piece: 2000; Folio: 548; Page: 13
1861 There is a George Egerton aged 11 in Stone. He is with his father James aged 35 and a cattle dealer, his father's wife Anne Anne is aged 36 there are also brothers Joseph(5) and William (4), Thomas (4m) and sister Mary (2) 1861,RG 9; Stone Staffs En dist 6 Piece: 1910; Folio: 86; Page: 19
Sounded like possible 2nd marriage so checked.
1849, 10th April James Egerton marries Sarah Mellor in Stone,
1851 3rd quarter, A Sarah Egerton dies in Stone
1855 James Egerton marries Ann Wood in Stone
1871 George is still in the family home, he's now 21 and working as a butcher
1874 George Egerton, son of James aged 26 marries Elizabeth Nicholls on 18th November 1874 in Stone.(Christ Church Stafford)
1881 Still in Stone, aged 31, married with wife Elizabeth. He is still a butcher and farms 43 acres. Children, James 5, Frederick 4, Herbert 1, George H 2 months
1891 Still in Stone, aged 41, Butcher, wife Elizabeth , children James 15, Frederick, 14, Herbert, 11, George H 10, Leonard 7, Frances 6, Frank 4, Ernest 2, Isabella 2. There is no Thomas
1901, Still in Stone, addition of Sarah aged 9 , James V has married and moved to Birkenhead, he is also a butcher as is brother Frederick who is with him.
1911, the family is no longer together, some are borders, elder sons are married.
A bit more checking finds
George and Elizabeth have probably died , both dying in the last quarter of 1905 (Dec)
EGERTON George 57 Stone 6b 21 )
EGERTON Elizabeth Nicholls 49 Stone 6b 21
But as there is no Thomas, it doesn't seem to be your family!
A Thomas Egerton married a Mary E Jenkins in June 1919 . . Check it out and take down the reference number by searching here. https://www.freebmd.org.uk/cgi/search.pl
You can get the marriage cert from here . If it is the correct one (ie are you sure that Mary Jenkins was the wife's name?)This would give you the names of their parents.
The marriage was registered in Newport Sh which includes parts of Shropshire and Staffordshire.
I suggest you do also do a general search for Thomas Edgerton/Egerton in the 1891 census. And then follow all the likely candidates, keep check of where they say they were born. People don't always give the exact same place each time especially if born in a rural area ( they may give the hamlet name one time and a nearer bigger place another) but they don't tend to change counties of birth (though enumerators made mistakes). Don't just look at the one name from the family , check the parents, the siblings and the occupations to make sure that they match each time.
Finally, I can find no death of a likely George Egerton or Edgerton in 1926. (the only one was aged 0) I searched on freebmd, using Egerton phonetic search on surname, 1920-30.
Also English death certs won't tell you the place of burial By this time people, especially if it was a more urban area, the burial is not so likely to take place in the churchyard (they ran out of room and municipal cemeteries were built)