Would you believe that I quit iPhoto while it was in full screen and it didn't re-open in full screen, so I came here and searched for an answer and didn't find one, so I then posted my question.
If iPhoto was already exhibiting the behaviour I want then I would not have come here asking the question.
Should it remember the previous state even if you quite the application or are you supposed to close the application from full screen in some other way?
I will reboot my machine this evening and try again. If it doesn't work then I guess it will need to be reported. Do you have a quick link for how to do that? I haven't searched for that!! ;-)