Jeff, I'm sorry, I've been moving through this thread on autopilot. I've been saying that gravitational time dilation is greater or less depending on the "strength of the field". That's not true at all. It is directly proportional to gravitational potential regardless of field strength.
The force of gravity is change in potential. If you're in an area of space where potential changes quickly then a person will feel a large gravitational force. As a person gets farther away from a mass the gravitational potential and the field strength both change, but it is most certainly the value of potential which determines time dilation.
It was probably very confusing that I mixed those up. I see now what you were saying that a person in the center of the mass would feel no gravitational force—the field strength would be zero while the field strength would be very large on the surface. If time dilation were a function of field strength then you'd most certainly be correct in your conclusions.
But, time dilation is a function of gravitational potential and the person at the center of the star has greater potential [where potential (U) is considered positive] than the person on the surface. The farther from the center of the star, the less the potential and the
slower clocks run.
EDIT: "...the faster they run." 
I can't keep my clocks straight!
So, I think that was the problem. You were thinking that time dilation was a function of field strength (the force of gravity) and I was saying the same without thinking about it—it's most certainly not the case.
~modest
