I traced the available records as far as I can, and there is an important correction to make: I can document Ludovicus Lagasse's birth, but I cannot yet document a reliable descendant line from him. I don't want to invent a wife or children based on an online tree.
Your chart identifies:
Ludovicus (Louis) Lagasse
The June 18, 1705 birth/baptism is independently reported in a recent genealogy research discussion, which also says the record was found in the FamilySearch collection for Altenstadt. The researcher specifically identifies the father as Petrus (Pierre) LAGASSE.
However, the online evidence I can currently access doesn't give me Ludovicus's marriage, death, or children.
This is where our earlier research becomes particularly important.
A substantial genealogy database has:
Michel LAGASSE
d. 16 March 1698, Altenstadt-Wissembourg
with children: