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According to Wikipedia, after the death of King Herod Agrippa in 44CE Galilee and Peraea were incorporated into the province of Iudaea.
Over the next century there were no less than 3 major Jewish revolts. The last one was such a serious blow to Roman prestige that when Emperor Hadrian finally suppressed it, he decided the best way to prevent any further recurrence was genocide. Judiaisim was outlawed, the province and its Jewish name were wiped from the map, and its territory combined with Syria into Syria Palestina. In 193 Syria-Coele and Syria Phoenice were split from that. Its tough to tell on the rough maps I have access to, but it looks like the latter of the two new territories contained Galilee (or at least parts of it).