Where does “broillen” come from?

broillen (Middle English) comes from Anglo-Norman bruiller, from Old French brusler, from Old French bruller, from Old French usler, from Latin ustulāre, from Latin uro, from Proto-Italic ouzō, from Proto-Indo-European h₁ews- — to burn.

Ancestry of “broillen”, step by step

broillen traces back through two separate lines of ancestry.

via Anglo-Norman bruiller

Step	Language	Word	Meaning
1	Anglo-Norman	bruiller	—
2	Old French	brusler	to burn
3	Old French	bruller	to broil, roast, char; to burn
4	Old French	usler	to scorch
5	Latin	ustulāre	—
6	Latin	uro	I burn, consume, inflame; to rage, to ravage
7	Proto-Italic	ouzō	—
8	Proto-Indo-European	h₁ews-	to burn

via Old French broiller

Step	Language	Word	Meaning
1	Old French	broiller	to broil, roast
2	Old French	bruir	to burn
3	Frankish	brōan	to burn, scald; to boil, burn; to warm
4	Proto-Germanic	brōaną	to singe, warm, brew
5	Proto-Indo-European	bʰerw-	to boil, brew

Every word from Proto-Indo-European h₁ews- →Every word from Proto-Italic ouzō →Every word from Latin uro →