Nyx didn't use a weapon, other than darkness itself.
G.M.
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sword.
Why does Morpheus need a weapon? He was the personification of the dream state. He wasn't a warrior.
No because is still a name! If you can't use your own name, you can't use a Greek god or goddess' name!
They didn't have one that particularly devoted to one item of produce. Ceres is traditionally listed as a Goddess of growing plants, and of grain crops in particular. From her name we get the word cereal which we still use to describe these crops.