This is really just a question of clarification rather than procedure. I believe I have the answer in fact, but just want some confirmation of my conclusion.
I've created a few reports using SSIS and output as reports to SSRS. This all done on one of my home machines, and thus my local machine is acting as a server for SSRS. So, anyone whom tries to view my reports via the Web by going to the url and having MS SSRS launch it will need my machine connected and running to see it, right? Since my machine is acting as server for these reports it needs to have an internet connection and of course have the software running on it, if a user attempts to go to the SSRS site.