Just to clarify was that her birth or baptismal record or did they baptize right after birth?
Is is her baptismal record. At that time, there were no birth records. Usually, the child was baptized the same or next day of its birth, or at least a few days later.
Matricula is the main source for Austria (see https://www.wikitree.com/wiki/Space:Sources-Austria).
To further verify the relationship, you should look up the marriage records to find the marriages of Peter Kraher (and the two deaths of his wives). Usually the marriage take place at the brides home parish, but I would start at Saalfelden first to look for. I think I have seen yesterday that there is a easy readable (typewrited) index.
As in your records there are noted the exact dates (of the marriages), I suppose they have been found already, and the genealogist may just failed to note the place (or the source).
When you found the marriage record, it should clearly show the parents of the bride Barbara Rohrmoser.