French word sourrire comes from Proto-Indo-European *were-, and later Latin *rido ((Vulgar Latin) I laugh.)

Detailed word origin of sourrire

Dictionary entry	Language	Definition
*were-	Proto-Indo-European (ine-pro)
*werd-	Proto-Indo-European (ine-pro)
rideo	Latin (lat)	(intransitive) I laugh.. (transitive) I laugh at, ridicule, mock.
*rido	Latin (lat)	(Vulgar Latin) I laugh.
râde	Romanian (ron)	To laugh.
sourrire	French (fra)