no, this is a child of the masculine sexe, born EN legitimate mariage, born 24 April 1819 and declared on 25 April. Declarant is Jean Schmitt, cordonnier, 43 years, resident Herbitzheim, father of the infant; mother is Madeleine Bauer, resident the same. The two witnesses do not state a relationship to the parents. Schmitt and Bauer married on 17 Fructidor, l'an 10, per the TD.
The normal procedure is that if parents of illegitimate children subsequently marry, the child is "recognized" by both parents in the marriage act, which records his/her date of birth and the name under which he/she is inscribed on the register. Of course, if they don't marry eventually, the child normally continues to use the mother's family name. Occasionally the legitimization was done only via the marriage contract or by affidavit. Sometimes, not always, this is annotated beside the birth act. Legitimizations in marriage may be so noted in some towns, but I've never seen one before the German occupation of 1872-1919, when they start to appear. I suppose when the son needed his ID papers he had to start with his parents' marriage.
Legitimizations are written in the last big stretch of blank paper space above the names of witnesses. In some cases, the father is declarant on an illegitimate birth; these are sometimes, but not often, noted on the marriage act. The birth declaration legitimizes the infant without creating a marriage to the mother, who is not therefore a claimant to the father's worldly estate but the child is.
Key here is the writing "en legitimate mariage," which has the same meaning as in English. Looks like in Herbitzheim they write "fille naturel" or "fils naturel" in the margin beside illegitimate births -- at least in 1819.