Barbara fixed my nightstand (see comments below). When I first read her comment I thought, "Naaaw, that can't be it, there's a cam and a dowel holding the face on, and the holes are different on the sides of the drawer, I could not have confused the two." But I jumped up and ran in there and yanked the drawer out and started taking it apart. Um, yes I did. The holes on the back of the face of the drawer were virtually identical, and I put the cam screw in the dowel hole, and vice-versa. Thank GOD the glue provided was dried up and I didn't use any, but one of the dowels did break off and I had to break out my nifty little drill (and then re-educate myself on its operations, because running a drill also vanished with the SAH.) And no, inquiring minds, I was not drinking beer while assembling this thing yesterday, but I was NOT wearing my new glasses for vision reasons too tedious to repeat, and I just plain didn't examine the directions closely enough. Boy, is my face red right now.
So thank you, Barbara, wherever you are, you are a godsend. The drawer is currently disassembled on my bed, but it will take me about five minutes to put it back together.