The doll with the red-and-white stripes was called Rosemary. I have no idea if that was her real name. (That's a visiting friend holding Rosemary and wearing the luffly hat. I'm the one in the fedora.)
Turns out the doll actually was a "Kimmie." She was one of a line of very popular Native-costumed dolls sold by Regal Imports in the early 1960's. Well, once in awhile you get lucky.