Think this is a corruption of some other surname but not quite sure what.
I noted a James Pucifer bc.1821 Barney living in Stody, Norfolk (1851)
1841 Census - Stody, Norfolk.
Elizabeth Porcifer 60
James Porcifer 20
Elizabeth Porcifer 20
ref. HO107 - 776 - 41 - 1 - 12
So, Elizabeth senior would appear to be the wife of William and probably now a widow - James son born Barney was newly married.
A James Purcifer married an Elizabeth Daverson Mar.1840 Erpingham district, Norfolk.
FreeReg also shows an earlier baptism to William and Elizabeth:
William Pagsover b.4/4/1802, bp.6/4/1802 Briningham, Norfolk son of William Pagsover and Elizabeth Olley.
Think you are going to have fun (?) with this surname.
Annette