Where does “hataeir” come from?

hataeir (Irish) comes from Irish hata, from Middle English hat, from Old English hæt, from Proto-Germanic hattuz, from Proto-Indo-European kadʰ- — to guard, cover, protect, care for; to guard,...

Ancestry of “hataeir”, step by step

Step	Language	Word	Meaning
1	Irish	hata	hat; h-prothesized form of ata
2	Middle English	hat	A hat or cap; a piece of headgear or headwear; A...
3	Old English	hæt	Alternative form of hætt; head-covering, hat
4	Proto-Germanic	hattuz	hat
5	Proto-Indo-European	kadʰ-	to guard, cover, protect, care for; to guard,...

Every word from Proto-Indo-European kadʰ- →Every word from Proto-Germanic hattuz →Every word from Old English hæt →