Prologue
Running google search: "philosophy is the mother of all science" at the time of this post yields about 114,000 results, and while this Quora post: Is philosophy the "queen of the sciences?" puts forth the question to determine the truth of the matter, it does not address the historical, etymological, and philosophical import of the matter. This PhilSE Post: How is Philosophy related to Science? clearly addresses theory, but does not address the historical aspect. The related question in Researchgate post: Philosophy and Science, what is the connection? seems to not provide a substantial answer either.
Inquiry
What is the philosophically historical context in which the statement 'Philosophy is the mother of all science' or related ones began to recognize as a term the epistemological relationship between philosophy and the advent of modern science under thinkers like Galileo Galilei? That is to say, what historical and social consequences were responsible for seeing philosophy somehow superior as a theory to the natural sciences?
Epilogue
The question is intended to determine the metaphilosophical insights of philosophers. For example, if Karl Popper used the phrase or one similar, did he appeal to previous philosophers for insight on that same relationship?
See Also