Possible Clues:

• Epic featuring the Catalogue of Ships
• I get up to the House from Homer
• Epic that includes the Teichoscopia
• 24-part classic
• Story of city investment one foreign parliament backed
• Poem all bar two newspapers rejected
• Trojan War chronicle
• Epic centered on Achilles
• Poem I put down having got confused in the middle
• Painter turned up, engrossing one in a long story