Your screenshot gives us a potentially very important chain:

Martin LaGasse + Adrienne Vieville

↓

Michel LaGasse (1650–1698) + Laurance DeVimeur

↓

Pierre/Petrus LaGasse (c.1674–?) + Jeanne Bertrand

↓

Ludovicus Lagasse — 18 Jun 1705

The critical missing evidence is Pierre and Jeanne's marriage and Ludovicus's baptism record.

If we can obtain the actual 1705 baptism entry, it may tell us:

• Pierre's residence
• Jeanne's maiden name
• grandparents
• godparents
• possibly Pierre's occupation
• whether Pierre and Jeanne had additional children
• clues establishing whether Pierre is actually the son of Michel and Laurance

And then we can follow Ludovicus forward through the Altenstadt/Wissembourg parish registers.

One very interesting possibility

The 1705 Ludovicus is also the subject of a current genealogy investigation in which a researcher is trying to determine whether he became the “Lodowick” who emigrated to Pennsylvania around 1726. That researcher found the same Petrus Lagasse → Ludovicus Lagasse, born 18 June 1705, Altenstadt combination. They caution, however, that this is presently a lead rather than proof.