Hi, it looks in 1851 as if William Bathe was living in Swindon with his sister Martha and her husband
HO107/1833/f422/033, Swindon, High Street
John Leighfield, h, m, 29, coachman, WIL Lydiard
Martha Leighfield, w, m, 24, WIL Elcombe
Robert Lieghfield, s, 5, WIL Elcombe
George Leighfield, s, 3, WIL Wroughton
Mark Leighfield, s, 10m, WIL Wroughton
William Bathe, BL, u, 17, ag lab, WIL Elcombe
I take it you have Joseph Bathe in 1851 in Elcombe. Also in Elcombe in 1851 is James Bathe age 58.
Elcombe is a hamlet about 2 miles west of Wroughton which is about 2.5 miles south of Swindon.
Happy New Year, Dave