Hi Spurling,
Welcome to rootschat

This seems to be the family in
1851HO107/1822 Folio 417 p. 16
Kenninghole, Norfolk
Quiltcross Union Workhouse
William Spurling, Pauper, mar, 43, Ag Lab, b. Banham
Lucy Spurling, pauper, mar, 41, b. Kenninghall
John Spurling, pauper, 3 (no birthplace stated)
Samuel Spurling, scholar pauper, 4, b. Banham
Joshua Spurling, scholar pauper, 11, b. Banham
William Spurling, scholar pauper, 7, b. Banham
And this might be Robert:
HO107/1822 Folio 102 p. 13
Banham, Norfolk
North Moor Mary Ann Spurling, head, unm, 19, Ag Lab daughter, b. Banham
Robert, brother, 13, Ag Lab, b. do.
Jacob, son, 11ms, b. do.
John Betts, visitor, unm, 24, Groom, b. Banham
If the latter is your Robert, then they would have left (at least one) daughter behind when they left.
Hae you already tried FreeBMD for birth references?
Tanja
