You also didn't seem to do any of the effort to publish the paper or follow up with it. Of course your adviser should be the corresponding author. They actually care about the paper and getting response to it.
Honestly this does sound pretty terrible. The student doesn’t have to publish, and you don’t get to misrepresent yourself as first author if they don’t want to.
Really really want to be first author, redo the work yourself. That’s the only way you can claim credit (and responsibility) for having done the work.