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Prys developed from 'ap Rhys' meaning 'son of Rhys' and is mainly a surname; it's also a word meaning 'wood'
I haven't seen Eila before. When I looked up births for it there were quite a few listed, only one of whom was Welsh, so I'd say it's probably not a Welsh name. If it were, I'd pronounce it to rhyme with Kayla.
I have no idea what Esmor means - sorry! It's very unusual and seems to have occurred mostly in North-east Wales, where there's a village called Rhosesmor ('Esmor Heath'), so probably derived from the place-name.
Elenid is also a place-name of unknown meaning, from an area of land (also called Elenydd) in Radnorshire.