Possible Clues:

• Perlman who married Danny DeVito
• Big bird of Brazil
• Bird with a mythological name
• Perlman of 'Kirstie'
• Fast-running flightless bird
• South American flightless bird — mother of Zeus
• Relative of 16-Across
• One unable to take off some banner headline
• Actress Perlman of "Cheers"
• South American bird named for a Greek Titan