Looking for Grace Kate

[Granny Annie]

Looking for Grace Kate birth parents  (maybe other ways of spelling the surname )

Found her marriage to Richard Burt 26th December 1734 Fordington Dorchester (St Georges )
Children, John born 1735, Phebe 1738, and James 1740.

Have found a family of James and Phebe Kates ( no marriage date as yet )
Children Elizabeth born 1713, James 1716 and Mary 1719 all born at Fordington.

Wondered if this was the family and Elizabeth/ Grace  might have been known by both names.
Also Grace calls her daughter Phebe after her mother also James after her father. Wondered !!
Any one got any thoughts on this

Granny Annies