There were two Bethel kids born a few years earlier with mother's maiden name Shoard and I found the Bethel family in the 1930 census. GlamorGirls lists North's mother's name and the info matches the birth records and 1930 census -- but it does not really clear things up.
The site states that in 1956, North learned for the first time that Edward Bethel was her stepfather and that her real father was Richard Crang. North's mother was obviously married to Bethel before North's birth. Was she married to him when North was born? North's mother, June, died in 2000. Her last name was still Bethel so she was not likely ever married to Crang. Edward Bethel died in Pomona in 1957 and Richard Crang in Santa Cruz in 1953.
Contrary to what the GlamorGirls site states, North knew by 1949 that Bethel was not her father. She entered her real maiden name -- Crang -- on her daughter Dawn Bessire's birth certificate.
1930 Los Angeles, CA: