Ok, yes I know I'm weird, but I like Cinder. ;o) And a friend in college was nned (by me & another friend) Cyndal, which I really like as well and would use as a name. ;o) I love folk songs, too (you need to learn The Cruel War Is Raging, if you don't already know it) and I think of the same song. I do like Cindy / Cinda better than Cynthia (how does the hard d sound in Cindy come from the th sound in Cynthia, anyway, lol) and I prefer the nn Lucy for Lucinda.
Cinda Myrtle
Cinda Lune (just came to mind, and I like the way it sounds)
Cinda Laurel
Cindal (you don't like y's in names, right?) Betsy
Cindal Song
Cindal Bea (or Beatrice, but I like just Bea)
Cindal Rae
Cindal Aura / Ora