Who was the Gilead of Judges 11?

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In Judges 11: 1-3 it reads:

Jephthah [Yiftach] the Gileadite was a mighty warrior. His father was
Gilead; his mother was a prostitute. 2 Gilead’s wife also bore him
sons, and when they were grown up, they drove Jephthah away. ‘You are
not going to get any inheritance in our family,’ they said, ‘because
you are the son of another woman.’ 3 So Jephthah fled from his
brothers and settled in the land of Tob, where a gang of scoundrels
gathered around him and followed him.

The passage describes Yiftach as an outcast being driven out by his father’s presumably legitimate sons, and taking up a life on the fringes of society. But when in verse 4 and following the Ammonites afflict the region, the “elders” (or princes) of Gilead [here presumably the region]come for his help.

I have read somewhere that his parenthood and even tribe is questionable, his mother being a prostitute. Is there textual or reliable commentary sources to clarify whether his father was a man named Gilead, or was his mother’s profession such that his father was “a man of Gilead?”