I had a look at the MIs for Llanbeblig today, at the national library.
There are 8 volumes of them, the 8th being addenda , I think. I'm afraid I could not find a Nehemiah Breacegirdle (though there are a lot of other Bracegirdles) .
I did find a reference to a lady described as the wife of Nehemiah Bracegirdle. , at plot B 497 (Quite close to the church) . I rather short-sightedly forgot to write her name and the date down, I'm afraid. I seem to recall it being 1870. I wonder, in that case, whether it would be the wife of the son of the original Nehemiah.