Where does “Laoghaire” come from?

Laoghaire (Irish) comes from Old Irish Lóegaire, from Old Irish -aire, from Old French -aire, from Latin -ārius, from Proto-Italic *-āzios — Forms relational adjectives to nouns (and rarely numerals).

Ancestry of “Laoghaire”, step by step

Step	Language	Word	Meaning
1	Old Irish	Lóegaire	—
2	Old Irish	-aire	Agentive affix, similar to English -er, -or
3	Old French	-aire	—
4	Latin	-ārius	er
5	Proto-Italic	*-āzios	Forms relational adjectives to nouns (and rarely numerals)

Every word from Proto-Italic *-āzios →Every word from Latin -ārius →Every word from Old Irish -aire →