Update: You all have been so helpful that I thought it was only right to share with you a little more background and keep you posted. After all, if it weren't for the great suggestions and helpful leads from the awesome people who replied to this post, my progress would've been a lot slower.
I have taken everyone's advice and submitted inquiries to the various sources suggested. I am awaiting replies and further leads. I did submit an inquiry to a well known auction house and I received, in part, this reply, ".... We are in the process of researching the work and will get back to you asap."
In the meantime, I thought it would be fun to share with you the way I came into owning this painting. My daughter (who recently announced her first pregnancy) and I are in the beginning stages of developing our own small two-woman online resale business out of her house for a little extra "here comes the baby" income. I've been buying little things here and there that we would enjoy selling (or keeping, should no one agree with our taste). One day last week, I had to kill some time as I was meeting up with my sister and she ran later than expected, so I stopped at a local thrift store by her house even though I really wasn't on a resale hunt. As I walked by this painting, my first thought was, "Hmmm... odd. Why would someone paint that?" Now mind you, I'm a plain Jane. I like everything simple and explanatory, so my first instinct was to walk on by. However, in hindsight, I think this painting began talking to my alter-ego (that's the only explanation I have for not moving along). I stared it for a long time before pulling up a little stool to stare at it some more. I liked the texture ... the way the oil and acrylic (I think acrylic) sort of "dances" gives it a depth of "never-ending transformation." The oil leads my eyes right back into the acrylic and vice-versa and I found an interesting new nuance with every turn of the trail. I began to wonder what the unknown artist was, ever so subtle, trying to convey. And then I saw the added "Y." It could stand for youth and/or the way it shouts out as a stand alone could be asking the question, "Why?" Well, no more of my thoughts for now. I have too many. I'm sure you have some of your own. I'd love to hear them!
To sum this up, I had no idea who the unknown artist was or even if it had any monetary value at all. I just thought it was crazy that it held my attention for so long and evoked an entire dialogue with me ... and, it was within my budget.