Hopefully this is your Thomas Moore. But..........!!!!!
Turville Baptism - 26 Mar 1809 - Thomas Moore. Baseborn child of Elizabeth Moore.
I can't find a hubby for Elizabeth in Turville, nor parents for her.

In 1851 census, there is a Elizabeth Austin c1821. Medmenham, Bucks as a lodger. (relative maybe.?? )
Lane End Baptisms to Thomas &
Ann MOORS, of Moor Common
**.(Address
** in 1861 & 1871 cesnsus)
10 Mar 1833 - George.
26 April 1835 - James.
24 June 1838 - Martha.
15 Aug 1841 - Jane.
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Looking in FamilySearch, there is a marriage in BRAY, Berkshire. Thomas Moors to Ann GOLDSWAIN - 26 Nov 1832. Grooms place of residence FINGEST,Bucks.

Baptism in FamilySearch - 22 Jan 1813 - West Wycombe -
Ann Goldswain. Parents William & Mary Goldswain. (Ann's p.o.b is given as West Wycombe in the 1861 census.)
Fingest is under a mile from Turville.

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Lane End Burials.12 Feb 1864 - Mary Moore of Moor Common. Aged 12.
23 Sep 1864 - Eliza Moore. Infant of Moor Common.
1 Mar 1873 - Thomas Moore of Moor Common, Lane End. Aged 65.
17 May 1876 - Ellen Moore of Moor Common, Lane End. Aged 20.
4 Mar 1884 - Ann Moore of Lane End. Aged 72.
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Lane End Marriages.25 Dec 1872 - Martha Moore aged 34. to George Munday aged 30 of Lane End. Daughter of Thomas Moore. Son of John Munday.
BANNS ONLY -13 July 1873 - George Moor to Mary Ann Hobbs(Spinster of Hambleden).
Steve.
Entries from BucksFHS Turville PR Disc. C570.