Character in the musical Falsettos. Trina is a Jewish housewife whose husband leaves her for another man. Pronounces it TrIHna (close to TrEna) and not Treena.
Trina is a character in the film "Penny Serenade" adopted by Cary Grant and Irene Dunne, Cary treats her like a princess but is heart-broken when she dies. This name is for a princess.