Possible Clues:

• Bird akin to the nene?
• Caucus-race proposer in 'Alice in Wonderland'
• Many opera houses have them
• Two parties – one extinct
• It originally died out twice
• Wonderland beast
• Wonderland talker that Carroll based on himself
• Playwright Eve
• Dead bird in bad odour
• Bird that lost its ability to fly and went extinct haha so stupid