That's pretty close! I would say it sounds more natural to say "there were two of us" - leave out the "the". It would also sound more natural (especially since this is out of context) to include her name - i.e. "There were two of us except for Dianne." If you can make the time more specific (like this: "we had been waiting for her since morning") I personally think that would sound a bit better, however there's nothing wrong with the second sentence grammatically.
I hope that helps.