Carol, in your original post you say Elizabeth died in 1861, but I wonder what the source of that information is? I see from FreeBMD that there is a death registration for Elizabeth Hatter in Sep qtr 1857 Devizes (vol 5a page 60), which is the right registration district for Bromham. As has already been pointed out, the Hatter children were already distributed amongst relatives by the time of the census in April 1861.