"In certain appellate situations, where the old form of petition for review is prescribed, the name of the petitioner -- the party seeking review -- goes first, whether the petitioner is plaintiff or defendant.

Thus in the familiar "certiorari" ... where the Court is responding to the request of the party seeking review."

Source:

https://books.google.com/books?id=lLHBCQAAQBAJ&pg=PT70&lpg=P...

That's true in the lower court, but here, Google is the petitioner, so as the movant, their name goes first. See the docket:

http://www.supremecourt.gov/Search.aspx?FileName=/docketfile...