Our son was born in the women's hospital in Alex, back in 1997. At that time, there were two spaces with hook ups in the parking lot in front of the hospital. Long time ago, but you might check and see. We enjoyed having the motorhome there!
There's also a place south of town on 165, toward Woodworth, was called "Fishin' Heaven". We stayed there about five years ago. Looked a little scary but was fine for a night and might be fine for you too. Lots of full-timers, etc. but there was a manager on site and we felt completely safe.
Congrats to all of you!