If Judith is the mother of William LITTLE (age 8 on the 1851 census)

On Ancestry - on the 15 March 1842 - Judith SMITH age 43 - Herefordshire was sentenced to 14 days for Larcecy

Judith SMITH married William LITTLE DAVIS - at Ross Herefordshire 1852

1861 Census, Goodrich

William DAVIES - 58
Judith DAVIS - 59 - born Monmouthshire Llandogo (Walter LITTLE witnessed her marriages to James SMITH at Goodrich 9 September 1822 - and Judith is living with Walter and his family etc on the 1841 census)