Vivian says she is from North Salem, New York, but in her first appearance on "Here's Lucy" she said she was living in Santa Fe, New Mexico. In the previous episode she claimed to be from "back East." In real life, Vivian Vance did actually own a home in North Salem, NY, which is in Westchester County about 50 miles north of Manhattan.
When Viv brings up never been to Mexico. She negates Vancce's Ethel being in Mexico in The Lucy/Desi Comedy Hour" when Maurice Chevalier guested in the said episode.