H is one of many forms of the abbreviated
ethnic of the city. It is found prominently displayed on many (but not all) of the coins of the city. On other coins the
ethnic is the letter E in accord with djmacdo's note on how the ancient Greek word "Heraia" was pronounced. I find the display on the
reverse of the third coin below most interesting ...a small H followed by a BIG E to right of which can be discerned a small A and small I... I think it reflects the difference in
pronunciation versus the spelling. The fourth coin takes thus a step further emphasizing the E in the
pronunciation. Finally to add to your confusion on some coins of Heraia the
ethnic is abbreviated to EP (fifth coin below). So we have H, HE, E and EP all read as an abbreviation of Heraia.