I like both of them - I love Lithuanian names. I met a Dovilė a while back, which sounded very pretty when she said it. I think there might be regional variations in the pronunciations; these examples vary, but the last syllable has something between an ee and an ay sound, to my ears anyway.
http://www.forvo.com/search/egle/http://www.forvo.com/search/giedre/
The Boden catalogue is a top source of names. The winter one had an Inguna, which is apparently Latvian & fascinated me.:)