I pronounce it as BRY-er, so BRY rhymes with the word DRY.
Briar Lily looks a bit odd to me, as I'm used to seeing
Briar Rose. I think that
Briar (since it's a word name) needs a mn that is more classic and not a word name. How about:
Briar SimoneBriar VictoriaBriar CatherineBriar MichaelaBriar LouisaBriar FrancescaBriar AnneBriar Estelle
Shannon