Possible Clues:

• Henry __________, English composer
• Composer caught in clear pair of lines
• English lines set to piano by church composer
• Henry —, Dido and Aeneas composer
• Henry --, English composer 1659-1695
• 17th-century composer Henry
• Yank hosts exceptionally rich English barman
• Composer of Dido and Aeneas, d. 1695
• Composer by trade, you say?
• English composer (Dido and Aeneas)