Today I realized that I'd left a crucial part out of the power setup. The PoE Injector. I ordered the Splitter but obviously I didn't understand the flow well enough. After a quick confab with a colleague we identified the missing part.
Then, would you believe a friend dropped over on Sunday, looked at the setup, runs down his car and brings back and Injector - unbelievable! So now the system is complete - and running!