I am trying to find a Smith family on the 1841 census who should be in the hamlet of Littleworth, This hamlet according to various sources is situated in Gloucester, but unable to find them.

Descendants of William James Smith

1 William James Smith
. +Mary Hallen b: 1796 Coalbrookdale, Shrops. m: 05.05.1826 Raglan, Mon.
2 Henry Smith
2 Susan Hallen Smith b: 1829 Littleworth, Glos.
2 Thomas Smith b: 1831 Littleworth, Glos.

1841 Census
Hempstead
Littleworth
District 3
Page 9 of 9

William SMITH (40) Book keeper N
Mary (40) N
George 14 Y
Susan 12 Y
Tom 10 Y
Fred 8 Y
Sam 6 Y
Henry 4 Y