Hope all these are right- I feel they are though.
Thought I couldn't find him but he is entered as Dixson
1851 HO107; Piece: 2250; Folio: 15; Page: 23
High Street Haslingden
Peter Dixson 26 yrs Joiner Brewer b Blackburn
Margret Dixson 22 yrs Cotton Weaver b Accrington
I can't spot a marriage which would really fit

Now I looked at Lancashire OPC -
http://www.lan-opc.org.uk/for any relevant Dixons- not much help but there was a birth for a Peter -father Pickup Dixon.
However there is a birth 1851 for an Adam Pickup Dixon so there may well be a connection. Death on Free BMD- 1868
1841 HO107; Piece 506; Book: 5; Folio: 13; Page: 20
Water Street or Taylor's Row Haslingden
Pickup Dixon 40 yrs shoemaker
Ellen Dixon 40 yrs
Peter Dixon 17 yrs
John Dixon 15 yrs
Michael Cunliffe 13 yrs
1851 HO107; Piece: 2250; Folio: 420; Page: 20
Water Street
Pickup Dixon 57 yrs Shoemaker
Ellen Dixon 58 yrs
Michael Cunliff Dixon 23 yrs Cotton Weaver
all born Accrington
According to Lancashire OPC- Pickup married Ellen Ashton
