Historically, what Galileo and Newton and other "scientists" in the 17th-century called their work was not "science" but rather "natural philosophy." And the reason they called it that was because it came out of a long philosophical tradition, which was in the process of evolving under the work of a number of scientist-philosophers like Mersenne, Descartes, etc. who was seen at the time as leading the real intellectual "revolution."
Really? And how often did Newton and Galileo cite philosophers in their works?
As for how things are practiced, well there are in fact scholars who work on philosophy of science
I've never disputed that. But those who work on the philosophy on science can only do so insofar as there are established practices within science. They never touch the frontiers of science, which is arguably where science always is. People can philosophize about science all they want, but science develops independent of what philosophers claim science is. Are you serious? Of course they cared about the big questions. That's why they created gods and goddesses and personified nature to create explanations for all the "big questions" happening around them. Religion was the first answer.
I'm pretty sure agriculture developed before religion. Religion arose after agriculture got sophisticated enough. Mostly due to the fact that there is a stable supply of food and people can sit around more and think. But in the early stages of agriculture, people were experimenting with growing things MORE than they were thinking about the philosophical underpinnings of agriculture. I don't see how you can dispute that. No amount of philosophizing grows crops. Simple as that.
Naive empiricism is not the same as philosophy nor science.
You miss the point. Science evolves from naive empiricism mostly independent of philosophy. Philosophy can talk about the progression from naive empiricism from science, but that doesn't mean it becomes the parent of science. They are just commentators, not originators.
but it did develop out of philosophical debates, and the underlying assumptions are still something to think about.
I find this to be strange reasoning. Just because you can have debates about something from a philosophical standpoint doesn't make it the child of philosophy. Philosophy was APPLIED to science after science evolved into something recognizable. Science's evolution owes its modern form to debate, which is always a part of science and does not require philosophy to grant it such powers.