Nice to see another visitor from Ireland! Have you met Sabine on this board yet?
"Damina" could be a diminutive of any of the following:
1. "Damiana" (Greek): "one who tames or subdues". (PriaposLovs will have to verify this one.)
2. "Dama" (Spanish): "lady; noblewoman".
3. "Damma" (Latin): "a fallow-deer or antelope".
-- Nanaea