If the House was Copyhold and had been transferred to Moody, this type of transfer would have been transferred by the Manor Court instead and those Transfers are usually in the Manor Court Rolls (if they survive for the place).
Newspapers can be useful as they sometimes mention the type of Tenure.
Mark
Hello Emma
It looks like the property was Copyhold as the following refers to a Surrender and Admission ... so the property transfer would be in the Manor Court Rolls.
Hull History Centre Cat Reference - U-dp-42/1
Surrender and Admission (Manor of West Hall) 26th April 1804
Bennitt Maile, formerly of South Cave but now of Grounthorp, county Lincoln, gent. and wife Ann to Ann wife of Matthew Moody of South Cave tailor House built by Bennitt Maile, on the site of a cottage called an undersettle, in Market Place of South Cave.
(Document purchased in 1947 from Mrs Sleight of Hull)
1774, 17th March, South Cave, by Licence Bennet Maile of this Parish Bachelor &
Ann Martin of this Parish Spinster (mark of).
Present:- Will sonley ; Robert Landen (or Lauden?)
He signed Bennett Maile.
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1819Regarding Grainthorpe, Lincolnshire, England, there is a Bennett Maile, Bachelor, marriage to Ann West.
Present: Sarah Martin ; Mary Day
We have had a Day witness before at a Marriage in 1801 See Reply # 5
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I was trying Mails (exact) and wondered where it came from.
This explains why the name Maile or Mails was adopted as an alias name for Matthew Moody's Son Matthew Moody, Junior.
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Added:
Manor property documents possibly in U DDBA Papers of the Barnard Family of South Cave 1401 to 1945 (Hull History Centre)