Hello Saira,
I am pleased you have managed to make some progress.
I have Joyce ancestors in my tree. They were intermarried with several of my lines from West Cranmore, East Cranmore, Doulting and Downhead.
I tried to find the baptism of Lucy Joyce and the most likely appears to be as follows:
Frome, St John the Baptist, 20 October 1792, Lucy, daughter of Joseph and Lucy Joyce. The notes state, "William and Lucy". This seems to refer to the fact that there was another baptism on that day for a William Joyce, son of Joseph and Lucy Joyce. So, Lucy was a twin by the look of it.
There were sibilngs baptised in Frome as well.
There was a marriage in Frome 7 November 1791, Joseph Joyce, Of this parish, to Lucy Cabble, Of This Parish. Witnesses were: T Jones and John Deacon. Notes state," Bride signed Cabel".
The Cabel (and variants) family are another prominent family in this area.
This information is on Freereg
http://www.freereg.org.uk/There is a local history book called, "The Cranmore Chronicle" by Mary de Viggiani who has lived in Cranmore all her life. This has some references to the Joyce family, plus photos of some of them. It was for sale in the Frome museum a while ago.
Let me know if I can be of further help to you.
Jo.