Returns survive for the 'census' of 1787 and are held at the Kendal Record Office of Cumbria Archives Service. The Record Office reference is WQ/SP/C. They are transcribed in Vital Statistics published by Curwen Archives Trust 1992. ISBN 1897590008. There is a transcription on EdenLinks
Census returns are available from the usual sources for 1841-1911.
A transcript of the 1841 census of Bampton [HO107/1162] has been provided by Virginia Gretton.
The surnames included are:
ABBOTT, ARCHER, ATKINSON, BANKS, BAXTER, BECTON, BIRD, BLAND, BOWES, BOWSTEAD, BRAIDLEY, BROWN, BRUNSKILL, BURN, BURROW, BURTON, CAPSTICKS, CASTLEY, CHAPELHOW/CHAPLHOW/CHAPLEHOW, CHERRY, CLEG, COOKSON, COOPER, CREIGTON, DALTON, DENISON, DIXON, DOBSON, DOCKER, DOCKERA, DOUTHWAITE, DOVER, EBDEL, EDMONDSON, FADDAN, FALLOWFIELD, FARRER, FOSTER, FOULSTONE, GARMAN, GASGARTH, GRAHAM, GREENHOW, GRIG, GRISDALE, HALL, HARRISON, HART, HEADMAN, HETHERINGTON, HILL, HODGSON, HOGARTH, HOLME, HOOSON, HUDSON, HUNTER, ION, JACKSON, JAQUES, KIEVLEY, KINDLYSIDE, KIRKBRIDE, KNAGG, LAMB, LANGHORN, LEACH, LOWERY, LOWIS, LOWRAIN, LOWSON, LUNN, MARCHELL, MARTIN, MATTINSON, MATTOCKS, MEDCALF, MILLER, MILNER, MOFFAT, MORPHET, MOUNSEY, NEVINSON/NIVNSON, NEWTON, NICHOLSON, NOBLE, OBDELL, ODE, PARR, PATTINSON, PEARSON, POOLEY, RAWES, RICHARDSON, ROBINSON, ROWLANDSON, RUDD, RUSSEL, SANDERSON, SCOT/SCOTT, SEWELL, SHERMAN, SIMPSON, SLEE, SMITH, SOWERBY, STEPHENSON, STODDART, STOUT, TEASDALE, TINKLER, TOMPSON/THOMPSON, TURNER, TYSON, UBANK, WAKEFIELD, WALKER, WARD, WINDER, WILLIAMSON, WILKINSON, WILSON, WHARTON, WOOF, VIPOND, YOUNG.
Transcript and index for 1851 has been published by the Cumbria Family History Society and also in 'North Westmorland - An Index to the 1851 Census' compiled by David Lowis and Barbara Slack.