I can't see Noah before 1881 - odd.
1881 RG11; Piece: 757; Folio: 93; Page: 13
Mark Parker b 1844 Ashford Middlesex
1871 RG10; Piece: 796; Folio: 74; Page: 18
Mark Parker b 1841 Ashford Middlesex
but I can't find Mark before 1871

Neither can I find Alice before marriage either! Well not an Alice with the same birthplace or who looks as though she would be in a travelling family.
You may have to get the marriage certificates for the fathers' names.
Will have another last look but nothing looks promising.
