Full name (and parent’s names) from their marriage license. It shows that she was single, and living in Los Angeles, at the time of their wedding. It also shows that she was born in California. The 1940 census shows her as being born in (and living in, as of 1935), New York, so I don’t know which is incorrect. There is also a California birth index record for “Eunice McCarthy”, born Jan 10, 1906 in San Francisco, California, that may be her?