Quick pronunciation question – Milla -> ミーラ v ミイラ

Living near France and ran across a woman named Milla (Pronounced me-lah).

In briefly wondering how it would be rendered in Japanese, ミーラ struck me initially, which reminded me of the word for mummy, 「ミイラ」。

So, native speakers, is there a pronunciation distinction between ミーラ and ミイラ? Do you kind of hit a beat — ミ・イラ — when pronouncing the later, or are they effectively homonyms?

Thanks!