I didn't know the song, but am guessing that エリス is a name of the fictitious character that the writer imagined and believed the sound of エリス was easy on the ear. 「エリス」は誰ですか: 「エリス」は誰だかご存知でしょうか。　或いは、「エリス」が誰だかご存知でしたら教えて頂けないでしょうか。

I googled it because I don't know this song. Apparently this song was used to the TV commercial of a tissue, so it's a name of tissue "エリス". Maybe I think that it isn't deep meaning.

Thank you, Yoshiki-san! ：）

I think it's not impolite. You don't need to be afraid. I also think エリス is a just fictional character.