I thought they were members of the Jewish sect called “The Way”.
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The Way was the term for the teachings of Yeshua, the Netzer. (literally “shoot from the root of Jesse.”) The way is the sole path to salvation when he returns to gather his sheep on the day of Trumpets (the “Last Trump” declared by Paul to the Corinthians)
Jewish at that time meant keepers of the false laws of the Pharisees, which no follower of Yeshua was. Now by common usage it can mean simply descendents of the tribe of Judah.