Hi there, I don't know about the American hospital in Paris. I did go for a consultation at at the Portland Street, and I was personally very disappointed. If you want to PM me, I'm happy to tell you what happened - it was appalling.
I opted to go back to the States as I'd only been here a month when I fell pregnant. I was so new to the system, that I just couldn't square my head with it. If I were to become pregnant again, I would deliver here, especially since I'd be having a C-section based on my history so there wouldn't be as much in question. Don't know if that makes sense over a post!
We are near the John Radcliffe in Oxford.
Best of luck!