I am not sure if I understand the first question, as the only answer I am aware of is "curiosity". What I mean is that chemists were trying at the time to decompose every substance into what they called "simple substances" - what we today know as elements (note: don't treat nomenclature I am using too seriously, as I am translating from Polish). Berzelius was the first one to succeed in preparing pure silicon, but I don't remember reading about any special events that lead to that discovery.
Small scale & home experiment looks unlikely to me, you need high temperatures for SiO2 reduction. Does it have to be production of Si, or something else where Si compounds are involved will do as well?