Possible Clues:

• This poet repeatedly agreed to press for payment, we hear
• 'The Bait' poet
• "Death, Be Not Proud" poet John
• 'Nature's lay idiot, I taught thee to love' penner
• Preacher-poet of the 17th c.
• Name adopted by accomplished writer
• 'No man is an island' writer John
• "Death, be not proud ..." poet John
• ''Holy Sonnets'' poet
• This poet is declared to be accomplished