With Elizabeth's birth place showing as Old Deer, Aberdeenshire in 1861:
Elisabeth Cullen 63, Stocking Knitter, b. Old Deer
Elspet Cullen 33, gen. serv. b. Longside
Jam Setter 3, grandson b. Longside
Address: Greenhill, Longside
There is this possible IGI christening entry:
ELIZABETH SMITH Christening: 22 OCT 1797 Old Deer, Aberdeen
Parents:ANDREW SMITH and MARY HENDERSON
This might fit with first name daughter for John and Elizabeth showing as Mary. Hopefully her death cert would let you confirm

Monica