Just Mary, please no variations or related names. :) I am tossing around a few name ideas myself but none are screaming 'the one' iyswim.
Personally, I'd like to avoid a name ending in y or ie as I'd like it to have a different sound to Mary (I liked Naomi, but Naomi Mary doesn't flow well I think).
Also Irish, so Irish names (no anglicising) are very welcome! I'm not a big fan of surnames as first names, or 'granny names' (Maud, Agnes etc). Open to hearing anything else.