Depends what you mean by Latin. Their origins are with the popular Latin of Roman settlers and ex-legionaries: Roman proletarians and peasants.
The early Middle Age saw this popular Latin, known as “Dog Latin”, evolving into Old French etc. A study of grammar shows this.
For instance, – orum (gen. pl. Latin) became -or in Old French:
Le languaige francor = language of the Franks; la tere englor = land of the English.