Good question! If Moshe is the Hebrew (Mr. Google said the name is of Hebrew origin) name, what is the Egyptian word for “drawn out of the water?” Does Egyptian have a language?
According to this Jewish website the name is Hebrew in origin. However, an Egyptian Princess named him Moshe.
The daughter of Pharaoh came down to bathe in the Nile, while her maidens walked along the Nile. She spied the basket among the reeds and sent her slave girl to fetch it. 2:6 When she opened it, she saw that it was a child, a boy crying. She took pity on it and said, "This must be a Hebrew child."
Moses’ sister who was standing and watching from nearby, offers to find a Hebrew midwife to nurse the child, and she calls the boy’s mother, who then is hired as nursemaid. Then the text continues:
When the child grew up, she brought him to Pharaoh's daughter, who made him her son. She named him Moshe (Moses), explaining, "I drew him (meshitihu) out of the water."
This verse suggests that Pharaoh’s daughter names Moses—oddly enough, using a Hebrew etymology.
The website goes on to cite some sages who speculated that the Princess must have known Hebrew or that his mother actually gave him his name. The second alternative wouldn't fit the Biblical text so I would throw out that possibility.