From what others are posting, apparently I was correct in stating that you can get another FP at the START of your window or 2-hours (whichever comes first).
I thought I was wrong once, but I was mistaken.
Here's a curious thought. I wonder what happens if FP distribution is very light (i.e., not many being taken). You said it was 9:15 am when you got the FP for 10-11 am. Normally, you could get another at 10 am. I can recall many times when my next FP was available 45 minutes later because the return time was that soon after I pulled a FP. But what if it's already 10 am and the FP machine is still giving away 10-11 am FPs. You could then use the FP immediately, but they might make you wait an hour before getting another. Theoretically, that could happen if very few people were taking FPs for that attraction. That is, unless the computer automatically prints FPs for further in the future at some point, whether or not they gave away all of the FPs for that window. Obviously, there has to be a mechanism to advance the clock automatically at SOME point. Otherwise, if no FPs were being taken (of course, that would NEVER hapen, right?), they would end up with FPs bine distributed for a time in the PAST. The shortest time I've ever seen between pulling FP and return time is 45 minutes. Does anyone know if the computer always prints FPs for a minimum of 45 minutes in the future?