The Mormon record show their marriage certificate to be Johann Adam Schwegel and Carolina Westrich. I searched for other Westerlichs and didn't turn up any in that area, whereas a search for Westrich found that this is a quite common name in the area. (I still don't know her parents yet.) The Westerlich was how her son recalled her name on his own marriage certificate.
While the patriarch in our family was always called Adam, he was probably more correctly called Johann Adam. It seems to be a fairly common naming convention, with one family of Schwegels being Johann Jacob, Johann Nicholas, Johann Michael... and the girls were Marie Elizabeth, Marie Catherine... Obviously, they would go by their middle name. I am however, still looking for Johann Adam Schwegel's parents.
They were married in Schrollbach, Germany which is in the Pfalz area. Since they were married on 27 Apr 1853, I would have to revise their estimated birthdates to about 1833.