Thank you so very much, David,
Yes, I agree with you. Having a cook does not mean one also has a chauffeur! But I wasn't even going for that interpretation. I find your analysis of my '1' very astute. But the 'restriction' you discovered in this construct (the sentences marked with *?) is a true gem! I hadn't thought of that at all. It looks like a real discovery to me. I wanted to mention that in my last post in this thread, and I hope this will be my last post in this thread, but I suspect that in a while I will be back with another infinitive question. There is no end to 'infinitive questions'!!