Crews struggled for 58 hours to rescue Jessica McClure after she fell into a pipe in an old well in October 1987.
The celebrity magazine reported that McClure, now 19, married Daniel Morales, 32, at a rural church outside Midland on Saturday. A sign on the door instructed guests not to take pictures or video, the magazine said.
The two met at a day-care center where Morales' sister worked with McClure, according to the magazine.
The case of 18-month-old Jessica created a nationwide sensation. Emergency crews rescued her - a dramatic moment covered on live television - after digging a parallel shaft and then breaking through the wall of the well.