How long after you finish your run does this persist? Is it jsut for a few hours after your run? If you did 4 miles easy would this still happen? The answers to those questions would influence my response but it may just be venous pooling. After you stop exercising, say a hard run, over 60% of your blood is in the venous system.
The blood pools in the veins in your legs and feet and if you were to stand quickly there would be insufficient blood being returned to your heart and head and you would feel light headed. Low venous return would also result in a transient increase in geart rate.
Veins have one way valves and blood flows up towards the head in response to the squeezing or pumping action of your muscles - skeletal muscle pump. This return of blood maintains central blood volume and cardiac output. More accurately it returns blood to the right ventrical so that it can be pumped to the lungs, oxygenated , sent to the left ventricle and then pumped out to the working muscles.
So may be try and walk around a bit after your run and when you sit or lay down elevate your feet above your head. Good luck.