I have found William's baptism:
William Munday baptised 15 Aug 1833 Priors Dean, parents James & Eliza.
No others listed in Priors Dean. But there is this in East Tisted
James Munday baptised 13 Mar 1831, parents James & Eliza.
Other William Mundays born around that time were baptised in Fawley, Compton and Herriard.
Nell