Ok...I fixed it...or at least, the problem is gone now.
I tried pulling the headlight connectors and washer pumps...no change.
I ended up pulling the #2 fuse for the washer/wiper system. Started the car and turned on the headlights. For an instant, the washer pumps came on then turned off. I replaced the fuse and everything is working properly.
Seems like there must be a relay that needed resetting...if it happens again, I'll dig a little deeper.
Thanks for the help!