I would just think they want you but maybe, as they're called, want to "negotiate" the price but have to talk it over with several people to see what to counter offer, etc. Did you give them a good range?

I remember when I started in the job market again I just upped my previous salary a couple thousand and called it a day. It turned out I undershot, was a good deal but it was fine with me because it was more than I had made ever before.