I took another a look this morning and found that the heating system functioned for around two minutes and went cool this time. I didn't feel pressure in any of the hoses entering/exiting the reservoir and there was no signs of the fluid moving. I also realized that the hoses may only be hot because of the engine.
I took the bus to work this morning and will pick up a new water pump and temperature sensor on my way home.
Thanks to all for the advice/insight.
