Place the water and one of the rosemary sprigs in a saucepan, bring to a boil, remove from the heat and let chill. Remove the sprigs and any needle left.
Clean the strawberries and remove the stems. Juice the lemons.
Place all the ingredients in a blender and pulse for a couple of minutes.
Taste and add honey to your taste. I believe 3 tablespoons are enough.
Filter the liquid to remove eventual seeds.
Place the other rosemary sprig in a glass bottle and add the lemonade. Wait for the lemonade to chill and refrigerate it for at least a couple of hours before serving.
This is a no sugar strawberry lemonade recipe, but feel free to substitute honey with sugar according to your personal tastes.