Meanwhile, preheat the oven to 400° F. In an 8-inch round baking pan, add the remaining 3 tablespoons of olive oil and set aside. (It’s OK to use a larger pan, but your focaccia will be thinner.)
Lightly dust a work surface with flour and then gently pat out the dough with your hands to 8 inches in diameter. (Note that there is a top and bottom to your dough. The top is the side that is facing up while it rests. This should continue to be the top.) Place the dough top down in the prepared pan to cover the top with oil. Turn the dough over so that the oiled top is facing up (both sides will have oil on them). Press the marionberries into the dough and let it sit uncovered in a warm place for 30 minutes. (I use the stove top of my oven for some extra warmth.)
Just before baking, use your fingertips to “stipple” the dough, so that the dough is indented across the top. Sprinkle the remaining 1 tablespoon rosemary over the top. Bake the focaccia until golden brown, about 30 minutes.
After removing the focaccia from the oven, slip it from the pan onto a rack to cool for 10 minutes. In a small pot over medium heat, warm the remaining 3 tablespoons of honey. Brush the honey gently over the top of the focaccia. Cool the focaccia completely before serving.
Focaccia is best served the same day. Store any leftover focaccia in an airtight container; it can be refreshed the following day in a 400° F oven for 5 minutes.