What does it mean when a girl texts you your name?

It means that they may be saying it in their head, and texts it to you without knowing it. It may also mean they are playing a prank on you.

or

It means she likes your name, or depending on your situation she may either want to talk to you and she seeing if youre busy. I would text her name back to her, it will make her laugh or say something else. I can tell you its not bad unless shes called you something prior, like pet names "honey" ect.

She possibly wants to ask you something, or needs something from you.