The name was intended to be a playful variation of "Knock a Homer." The mascot's job was to exit his tipi and perform a dance whenever a Braves player would hit a home run.
Broadcaster Curt Gowdy, completely missing the point of the mascot's name, once referred to him in a way that sounded more like Japanese: "NO-KAH-HAH-MAH."
Late in Noc-A-Homa's duration, a young woman companion called "Princess Win-A-Lotta" was introduced. The original creator of the companion character was Princess Poc-a-homa.
Noc-a-Homa was eventually replaced as the mascot by the characters Homer and Rally, most likely due to concerns over racism. This has not, however, circumvented the introduction of other Native American-inspired traditions for Braves fans, such as the "Tomahawk Chop," adapted with the arrival of Florida State University multi-sport star Deion Sanders from Florida State's popular War Chant.
For more on the subject, see Team Names and Mascots.
Below: Chief Noc-A-Homa makes a fool of himself with Braves pitcher Gene Garber and teammates in 1982.