I think (at least I think that I think, I may change my mind) that yes, TheBod was obviously doing something quite innocent and had a perfectly logical reason for being sat in his car outside a kids' playground.
However... this woman did not know that, and rightly or wrongly, she jumped to a quite nasty conclusion.
TheBod, would it have killed you to have said to this woman "oh, I see what you mean, I never thought about it, I just happen to be early for a game of footie so I thought I'd play solitaire get some work done while I wait!"?
I totally understand that you shouldn't have to justify yourself to this woman, but if you had have done, she would have gone away happy, you would have been a bit disgruntled, but not overly upset and everything would have been quite calm and controlled. Instead, you swore at her, she got her husband, was on the verge of calling the police, and you are now mightily pissed of at practically being called a paedophile.
So, yes, she was being totally unreasonable, but in your handling of the situation, I think you were a bit too.