Hi. My wife was born in Gwehelog, and her sister still lives there. Having just spoke to both of them, they seem to remember that there was a Taylor's Yard which was where the Hall Inn is now.
They have never heard of another pub in Gwehelog, but is it possible that the Wellington Inn was the name used before Taylor's Yard and the Hall Inn?
If I do find out more I will let you know.
Regards
Rgee