High hemoglobin most likely indicates thats your RBC is too high although the test only measures how much of your blood is made up of hemolobin, the carier of oxygen.
Next time you go get blood work get them to specifically check for RBC and HCT. These are what you want to keep you eye on. Mainly HCT.
HCT (Hematocrit) is the % of your blood that is RBC. The higher it gets the thicker your blood gets. This is not a good things as it can cause blood clots leading to stokes and so on. This is why you must keep an eye on this.