Hello! Please bear with me, as I am new to the list! Hope my question is not too silly!

Working from the only lead I have, I'm wondering if there is some kind of births & marriages index on CD ROM OR fICHE for Carmarthen?
I have a Sarah Richards (nee Davies) born around 1796, who states in the 1851 census that she was born in Carmarthen (CMN).
I'm wondering if anyone has the means to look this up (if there IS such a CD ROM or index fiche out there).
Birth of Sarah Davies in 1796 in Carmarthen.
My aim would be to get directed to the parish she was born in, to see if she later married David Richards in the same parish. He'd died by the 1851 census, and in 1841 simply states he was born outside of Glamorgan. If I find their marriage, then I might find both Davies ancetors and a record of which parish David Richards came from. Any help greatly appreciated!
Many Thanks
Curtis