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I’m not so sure about the Scottish connection. Looking at the records on Scotland People, no Kittelty births, marriages deaths pre Statutory Registration in 1855 or census returns, I note on the marriage record both James & Sarah signed X, so the record was written as spoken.
These are the nearest records on
https://www.scotlandspeople.gov.uk.
KITELY 1832 one birth/baptism + 2 marriages same spelling 1845/1847
8-KITELEY /KITTEY /KITTY / on 1841 census. These spellings appear on registrations post 1855.
Within the period 1780 to 1815 there are a number of baptisms in England with the above spelling.
The surname Kitley belongs to the large category of Anglo-Saxon habitation names, which are derived from pre-existing names for towns, villages, parishes, or farmsteads.
I could only see one baptism on Ancestry, father noted as a labourer.
James Andrews 25 Oct 1835
St. James' Church, Bristol
James & Sarah
Colin