Did Mr Max Steiner have any children?

It appears Mr. Schulman was an extremely private person (friends with Trueman Capote) and the only information I could get is as follows:

• There was mention of five children, but only two sons were spoken of; Max & Peter.
• Mr. Schulman was born March 14, 1919 in St. Paul, Minnesota
• Died August 28, 1988 of bone cancer in Los Angeles, California.
• His wife (if she was his one and only) was Mary Gordon Schulman.
• Was a writer of many good humored stories and also 'The Many Loves of Dobbie Gillis' to movies such as 'I Was a Teenage Werewolf' starring Michael Landon. He wrote many other scripts that were successful.