I am so inspired by everyone's guesses that I want to share a few here. But please be sure to visit their blogs for "the rest of the story" (links below).
Diann/Little Penquin Quilts was first to report in with these fun blocks. I can see possibilities in this combination; close, but no cigar. (Where did that expression come from?)
Ramona/Doodlebugs and Rosebuds Quilts came up with several different arrangements; this one was my favorite.
I'm going to wait till this evening to reveal MY solution so that the West Coast contingent has a chance to check in.
Again, thanks to all of you who participated. Be sure to check out the links below.
Sharon B anonymous
Marlene at Covered in Stitches
Ramona at Doodlebugs and Rosebuds Quilts
Julie at Julie's Quilts and Costumes
Diann at Little Penguin Quilts
Gayle at mangofeet
Cathy at Sane, Crazy, Crumby Quilting
Jeanne at Spiral
Jan at The Colorful Fabriholic
Joy at The Joyful Quilter
Nann at With Strings Attached