What came first, the Hard Rock Cafe or Carole King's song of that name?

I only saw this question when I chose a random one today…but wasn’t the Hard Rock Cafe named after this?;

Here is the staff report in question: What came first, the Hard Rock Cafe or Carole King’s song of that name? - The Straight Dope

Here is the follow-up column that answers that follow-up question: http://www.straightdope.com/columns/read/1487/followup

Though the column refers to Carole King’s Hard Rock Cafe on a 1994 album, Wiki’s Carole King page says it was released as a single in 1977. This doesn’t change the historical order of events, though. First, the photo shoot for Morrison Hotel. Second, the birth of the glitzy night club chain, now owned by the Seminole nation. Third, Carole King’s song.