Ingwiller is in Alsace. Currently Alsace is part of France, but it is an area that historically was more German than French. I believe that it didn't become a part of France for the first time until the mid 1600's, then it was German again after the Franco-Prussian War, then returned to France after World War I.
The Phillip (and wife Salome) mentioned in Frederick's pension records appears to be his older brother (or half brother) and not his father. Lucy Weaver, who has posted on this message board, has the family back to the early 1600s. She has Frederick's parents as Johann Phillip Helmlinger, born Jan 18, 1778 in Ingwiller, died Feb. 11, 1847 in Ingwiller and Maria Elisabeth Eberhard born Nov. 10, 1800 in Pfaffenhoffen, France.
Since Pfaffenhoffen is a German name, not French, I am assuming it is located in the Alscae region.