Hi
I think it's just that the Catholic registers tend to use the Latin form of names. The whole entry seems to be written in Latin.
It's a pity there is only one godparent, Ann(a) Carroll, but at least it looks like she must be a relative. I would think that Elizabeth probably had a Catholic background. If that is her remarriage to Thomas Young, then her father was James Carroll, a soldier. Lots of soldiers in the British Army were Irish, and Carroll is an Irish kind of name.
From that later baptism record I mentioned, Thomas Young and Elizabeth may have a had a son of the same name in 1840. Though can't be certain, because the birth registration just says male. If it's the same Elizabeth, then presumably the first William died, but I haven't been able to pin down a burial. In my own families in the area there are some missing burials though, possibly due to lost records (small local non parish church burial grounds?)