Likely baptism for William -
William SMITH bap 5 Jun 1864 Boddington, parents Thomas (labourer) and Ann.
Thomas SMITH married Ann ENDELL Sept qtr 1853 Banbury (3a/987)
Their marriage Avon Dassett, Warwickshire (about 6.5 miles from Lower Boddington) 12 July 1853, Thomas SMITH (23, b, labourer) and Ann ENDELL (22, s, servant). His father - John, labourer, her father - John, wheelwright. Witnesses - Samuel and Susan ENDELL.
(Thomas's wife, Ann says born Radway, Warwickshire on censuses.)