By Keri Bridgwater Palm Springs was still a few years shy of becoming a Hollywood playground when Harriet Cody arrived by wagon alongside her architect husband, Harold Bryant Cody, in 1916. The cousin of Wild West showman Buffalo Bill Cody and an accomplished horsewoman, she opened the city’s first riding stable in the Tennis Club district, renting and boarding horses for visitors — including movie star cowboys when they filmed in the desert — before building the modest adobe house that would later become Casa Cody. More akin to the private estate of a bohemian aunt rather than a traditional r…