Possible Clues:

• Epithet for the Greek goddess Athena
• An epithet for the Greek goddess Athena
• Goddess on whose bust Poe's raven perched
• Cloak on a small Greek goddess
• It's all over late as it's for Minerva
• 11 across comes after this, all in Father's way
• For the corpse, as she is a goddess with 11 across
• Cover for the dead, as a goddess with 31 across
• It's for the dead, as it goes with 1 across for Minerva
• For the dead, as it goes with 11 across for Minerva