Their children's baptisms -
Bap: 8th June 1823 – Matthew, son of Robert & Elizabeth WALKER of Fearby, labourer
Bap: 29th March 1825 – William, son of Robert & Elizabeth WALKER of Fearby, labourer
Bap: 5th Dec 1827 – Mary, dau of Robert & Elizabeth WALKER of Fearby, labourer
There a two or three Marriages of a Robert WALKER to an Elizabeth, all with different surnames. There is also a Robert WALKER marriage to a Mary.
All are within the relevant time frame.
The Masham PR's (Bap's, Mar's & Bur's 1599-1837) contain many mentions of the surname WALKER - far too many for me to list here, unfortunately. If you would like to research your family further, may I politely suggest that you purchase the three books yourself, as published by the Yorkshire Parish Register Society.
Regards,
Sara