It could have very easily been the new crescent moon, if it was large enough to be seen by the naked eye.
Venus is a crescent now also, but I don't think you can see the crescent with the naked eye, at least my eyes aren't that good!!
It was on the wrong side of the sky to be the moon. This was facing West. Would the cresent be along the bottom part of the moon? Imagine a round saucer with the bottom edge lighted.
I'd told myself it was Venus. Now I am starting to wonder. LOL.