Yes
The Muses were figures in Greek and Roman mythology who inspired the arts. In some versions of the myth there were three of them although there later came to be seven, each assigned to a literary or performance art.
The Muses names are the same as in Greek Mythology.
pierides ithink
There is no Roman version of the myth of Achilles.
Greek myth
he is greek
it is a greek myth.
It is a Greek myth if written by a Greek in Greek, or stated to be originating with the ancient Greek people. It is a Roman myth if written in Latin by a Roman citizen.
Roman myth.
The Muses are not reported to have any "weakness" in Greek myth, being that they are Greek goddesses.
The most common story is that the Muses are the daughters of Zeus and Mnemosyne, goddess of memory. Another myth states that they are daughter of Ouranos and Gaea, making them primordial goddesses.
The Goddess of the mother of the muses is Mnemosyne. Mnemosyne is also the goddess of memory. She is very important and anyone with special memory's worshiped her and sacrificed things for her