I have a William MEACHER chr 8/4/1798 in Fareham, parents James and Ann nee COLLICK, m 29/10/1795 Fareham.
Ann was bur 3/3/1802 in Winnall, Winchester, and later that year there James married 2nd wife Hannah COX of Northington. They had 2 sons in Winnall, and 3 more children chr in Havant, the last in 1816, before moving to Surrey, by 1841, when James was a pauper tanner. I don't know what became of son William though.
I wondered whether this could be your William, or related to?
Thanks.