Divine Magic is hard to pinpoint where it comes from, most priests can manifest miracles from their Gods, leading people to believe that these feats are god granted. However there are recordings of people who can channel similar power without worship, Druids and shamans of various races seem to be able to control a facet of the elements or of nature itself. These people would be argument enough that there is more to it, but there are also people, those that tend to exemplify the best in us, who seem to be able to create similar effects through nothing but desire and force of will.
The Gods may take a part in all of these, but if they do they seem to grant their powers only to those that show dedication to their beliefs and ideals. This makes the priesthood and all people outside of it that can perform these “miracles” impressive and important to the people of each town, often turning to them for guidance, even if they are not in a roll of authority.