From what I've gathered depending on whether or not you become an RN or an LPN makes the difference of your ability to get a job at the location you attend school. In VA, I believe LPNS rarely, if ever, get hired onto hospitals.
I would call and as both schools/hospitals what their policy is on hiring from the program. I know that Mercy School of Nursing (down in Charlotte, NC) does hire the nurses they teach once they've completed. They even have a loan/scholarship that allows them to fund schooling in exchange for a two year contract with the company.
Calling Riverside would be your best bet!