2. Yeah, William of Ockham was a philosopher. Score one for philosophy.
3. It looks to me as if almost everything important in the history of the scientific method is down to scientists rather than philosophers -- though, since the word "scientist" wasn't coined until the 19th century and disciplinary boundaries used to be more porous than they are now, they were often called "natural philosophers" and often did a certain amount of what-we-now-call-philosophy as well as what-we-now-call-science.
Francis Bacon is the usual chief suspect for introducing something close to the modern scientific method. He was an experimental scientist as well as a philosopher (though, it seems, not a particularly good one). Galileo was a scientist. Newton was a scientist. I suppose you might want to go back to Aristotle (though I wouldn't) -- but, actually, Aristotle was trying to do science as well as philosophy.
4. Since both Church and Turing were both trained and employed as mathematicians, it seems rather strange to credit the Church-Turing thesis to philosophy. (So far as I can tell, all the other important people in its history -- Goedel, Kleene, Post, Rosser, etc. -- were mathematicians too.)
You might consider these topics philosophical by definition. If so, the conclusion would seem to be that even philosophy is often best done by scientists and mathematicians, which doesn't speak well for philosophy as a discipline.