Hi Claire
I have found them in 1901 Census. They were visitors in Bexhill on Census night anyway:
Charlie Mitchell 33 Hastings, Sussex, England Visitor Bexhill Sussex
Lily Mitchell 24 Bermondsey, London, England Visitor Bexhill Sussex
Lily Mitchell 2 Hastings, Sussex, England Visitor Bexhill Sussex
Ernest Murrell 11 Eastbourne, Sussex, England Son Bexhill Sussex
James Murrell 40 Peasmarsh, Sussex, England Head Bexhill Sussex
I've included the last 2 as James was head of house.
They were living at 30, Reginald Road.in the St.Barnabas parish of Bexhill.
1871 Census when Charlie was a small boy:
Alice Mitchell 1 Hastings, Sussex, England Daughter All Saints Sussex
Charles Mitchell 3 Hastings, Sussex, England Son All Saints Sussex
Elizabeth Mitchell 13 Hastings, Sussex, England Daughter All Saints Sussex
George W Mitchell 19 Hastings, Sussex, England Son All Saints Sussex
Henry Mitchell 51 Hastings, Sussex, England Head All Saints Sussex
Henry Mitchell 27 Hastings, Sussex, England Son All Saints Sussex
James S Mitchell 9 Hastings, Sussex, England Son All Saints Sussex
John F Mitchell 11 Hastings, Sussex, England Son All Saints Sussex
Mary A Mitchell 46 Hastings, Sussex, England Wife All Saints Sussex
Mary A Mitchell 25 Hastings, Sussex, England Daughter All Saints Sussex
Robert E Mitchell 8 Hastings, Sussex, England Son All Saints Sussex
Thomas A Mitchell 5 Hastings, Sussex, England Son All Saints Sussex
William Mitchell 16 Hastings, Sussex, England Son All Saints Sussex
Rather alot of them!They were living in Bourne Walk Cottage and occupation of father was Fisherman.
1891 Census they were living at 10 St. .Johns Walk
Father and Mother with Robert, Thomas and Charles all fishermen.
However there was one in Brighton Dec.1899 when a Charles Mitchell married a Lilly Rowe(correct spelling of Lilly). I couldn't find any Hastings weddings but if it was a London wedding there were too many to look at without knowing the borough.
Hope this helps. My family wre also Hastings Fishermen Adams, so I do have earlier censuses.Obviously Charlie won't be on them but let me know if you want a check.
Regards
Gill (Clazy2000)