You know, you're technically right (speaking in terms of both the Matrix Morpheus & the god Morpheus). Morpheus appeared in the dreams of those he wanted to manipulate.

This first part is well-known, but Morpheus was the God of Sleep & Dreams; Morpheus didn't wake people up from dreams, or give sleep to the sick/needy/tired (his father, Hypnos actually did this.. Hypnos would bring the depressed, neurotic, traumatized & insomniacs to his grotto by the river Lethe, or "river of forgetfulness"), Morpheus in the Matrix doesn't care about waking mankind up either - he only cares about a selfish mission given to him by someone higher, and that's to get Neo to believe he's the one so Neo can "wake up mankind".

As I said before, Morpheus (the god) is the son of Hypnos, who's twin brother was Thanatos, the God of Death. They almost always worked together whenever they're mentioned or depicted; Hypnos tried to heal the sick/wounded with poppy flowers (His Roman counterpart is Somnus, named after P. Somniferum, the Opium Poppy Flower, which is the symbol and sacrifice used for both of them), and Thanatos would collect the souls his brother couldn't save, to transport them. Thanatos is one of the few portrayals of a Death God who does not take pleasure in the death of Humans and is always depicted helping his brother, or being displeased when a human is sick/wounded/isn't getting better/has to pass on. He & Hypnos respected mankind, despite their parents being Nyx, (the night, who was there for the beginning of creation itself like her husband, who both had no respect for humans or the "new gods". Nyx was feared by even Zeus), and Erebus, who too was there for the beginning of creation, and is the God of Pure Darkness and the Shadows, born out of the chaos that was a byproduct of creation.

They have two ill-willed/nefarious parents who are "high gods/goddesses", part of the few who are high on the creation totem pole & are considered royalty among the gods, yet their two children are some of the most humble and good-willed gods. I always found this pair of God's stories interesting compared to the rest of the Greek/Roman Gods.

Morpheus the God, however, did deceive & manipulate humans for the purpose of others (such as God/Goddesses). He would appear in their dreams to manipulate them (sometimes torment them with his other brothers). He doesn't care about their well-being, like Hypnos & Thanatos (the fucking personification of death), aka his father & uncle, did. Hypnos and Thanatos both, were depicted as being on the battle-field during the Battle of Troy, as well as in Homer's book, part XIV of the Iliad. And even though Hypnos was on the side of the Greeks during that battle, he treated & helped both sides equally, and so did his brother, finding a loophole in Hera's arrangement with him which was part of the reason he was on the Battlefield.

There's nothing about Morpheus being human oriented like that. So Morpheus is an interesting name choice for the character in the Matrix based on the actions of the God he's supposedly based off of.

Sry 4 the sperg-sesh, I find these two interesting!