In a medium saucepan over medium heat combine the water, milk and butter. Heat just until the butter has melted. Set aside until cooled to around 100°F or until just warm to the touch.
In the bowl of a mixer with the dough hook attachment pour in the warm water mixture. Add in the yeast. Leave to bloom the yeast for 5 minutes.
Add in the honey and salt. Mix until well combined.
Begin adding in half of flour while the mixer is on low. The dough will be rough and shaggy at this point. Add flour as needed until the dough no longer feels sticky. Not all of the flour may be needed.
Knead for 10 minutes or until the dough becomes smooth and slightly tacky.
Coat the bowl and dough lightly with oil, cover with a damp cloth and place in a warm place until doubled in size.
Deflate the dough and place on an un-floured work surface. Using a scale, portion the dough into equal portions.
Using a cupped hand, roll the dough balls into round rolls. Do not use any flour when shaping the rolls. Flour will prevent the dough from building tension while rolling to shape it.
Place in 2 lightly greased or lined 9x13 baking dishes. Cover with a towel and allow to proof for 30 minutes or until puffy.
While the rolls are proofing, preheat an oven to 350°F. Mix together 1 egg and 1 tablespoon of water to make and eggwash.
Gently brush the rolls with eggwash and bake in a 350°F for 20-25 minutes. Enjoy!