It turns out that our Network Engineer had to create a route in our Cisco router (gateway) to route traffic to the vMotion network. I was then able to configure the vMotion adapter and TCP/IP Stack correctly which allowed the vMotion and vStorage Motion to work.
Overall, due to the way our network was configured it wasn't a L3 solution that we ended up doing. I'm trying to explain it the best I can on what I was told and learned along the way, but in the end...it's all good and it's working!
Thank you for your help. It was just you and one other person from the VMware Community helping me out with this one...again...thanks.