Possible Clues:

• Big name in oil
• Oil magnate J. Paul
• Noted oil tycoon
• Oil tycoon J. Paul —
• Los Angeles attraction, with 'the'
• L.A.'s ___ Museum
• Eponymous museum founder
• ''My Life and Fortunes'' autobiographer
• Los Angeles museum, with "The"
• J.Paul - - , museum donor