I found this possibility for Elizabeth in 1841:
Reference HO107, Piece 517, Book/Folio 11/49, Page 37
College Lane, Windle, St Helens
Dickson, James M 78
Dickson, John M 39
Dickson, Mary F 39
Dickson, Mary F 16
Dickson, Margaret F 14
Dickson, Ann F 12
Dickson, Elizabeth F 9
Dickson, Catharine F 7
Dickson, Ellen F 5
Dickson, Maria F 2
Dickson, Sarah F 2 months
Atherton, Edward M 18 All born in county
And for Joseph:
Reference HO107, Piece 517, Book/Folio 11/16, Page 25
Gerrard's Bridge, Windle
Marsh, Peter M 63 Coal Miner
Marsh, William M 21 Coal Miner
Marsh, Thomas M 18
Marsh, Joseph M 11 Collier