In 1962 Oscar loved her in "West Side Story" (& isn't she the first one you think of for the category?)
... Best Supporting Actress and Best Supporting Actor 1962 - Rita Moreno as 
Anita... [DOC] [TLE] 'She would never go near that dinghy': Sister says Natalie Wood's ... [PAR] Natalie Wood and Rita Moreno -- West Side Story (1961) -- as she gets her dress 
... Anita (Rita Moreno) helps prepare Maria (Natalie Wood) for her first social 
event.