I can only find 1(one) Edward in my family of Ivills who was born in 1814 and would only be 15 years old at the time of his death.
If you would like to send me some further names on your family tree about that time I tell you if I can tie a connection up.
I haven't heard about a French connection but it sounds interesting, Let's advise each other if we find anything out.
It's interesting to know there are Ivills in Australia - Have you found out about the American connection yet. If not visit Pitt-Buff.com