KGarrad
Having looked at my notes again this is where I think I quoted from originally. I cannot check census as I do not belong to any sites
“The south Gloucestershire parish of St George was in the eastern part of the out-parish of St. Philip & Jacob, Bristol until 1751, when the ecclesiastical parish was created. The civil parish formed in 1784, comprised of what are now the east Bristol suburbs of Crews Hole, Crofts End, Greenbank, Lower Easton, Moorfields, Redfield, St George, Speedwell, Two Mile Hill, Whitehall, and White’s Hill. It bounded on the north by the parish of Stapleton, on the east by the former chapelries/tithings of Oldland and Hanham Abbots both in the parish of Bitton, and the west by the out-parish of St Philip & Jacob, Bristol. The river Avon marks the southern boundary and the old division between the counties of Gloucestershire and Somerset.”
It is entirely possible that FamilySearch has confused White's Hill in Bristol with Whiteshill in Gloucestershire.
Looking at the original census (not a transcription) would therefore be advisable.
Many libraries offer access to either Ancestry of FindMyPast. Worth checking your local library.
1871 image is headed
Civil Parish -St George
Village -Whites Hill
Ecclesiastical District - St Michael
Front page of that Piece - Superintendent Registrars District - Clifton, Sub District St George.
First properties are in Nags Head Mile (or Hill) in case you know it KG
The walking route mentions Bounded on the north by the Bath Road.. on the south by the Avon to the tar works.. on the west from the river by Troopers Hill to the Lord Raglan Inn