JUDGES 1:26

Q: This verse says “that was its name to this day.” How much longer after the fact was this written?

No one knows for sure. “In those days there was no king in Israel” means that it was finished no earlier than David's time, perhaps during Solomon's reign (ca. 950 BC). Source critics treat Chapter 1 as written by the “Deuteronomist” (about 500-600 BC), added to an earlier document, and then further edited at later date to its final form.