Eir \eir\ as a girl's name is of Old Norse origin, and the meaning of Eir is "Norse goddess of medicine".
For more information, see also the related name Eira.
Baby names that sound like Eir are Eire, Airi and Uira. Other similar baby names are Edira, Ena, Mira, Em, Eve, Eva, Cira, Ciri, Siri, Nira, Dior, Eda, Ede, Edy, Edie, Edi, Eidra, Edra, Eila, Ela, Eily, El, Eli, Elia, Lira, Emer, Ema, Erin, Eiryn, Eirin, Eris, Evia, Evy, Evie, Eba, Eyo, Eiren, Kira, Kiri, Lior, Liri, Loir, Mair, Miri, Nur, Pier, Ria and Rie.