Preheat your griddle to medium heat. About 325 degrees F.
In a large bowl, whisk together the flour, baking powder, baking soda, sugar, and salt.
In another bowl blend together the eggs and vanilla until well mixed.
Add in heavy cream and milk and mix again.
Whisk the wet ingredients into the dry ones and whisk together until no flour streaks remain. Do not overmix.
If desired add in more milk a tablespoon or two at a time
Grease your griddle or skillet and pour the batter ¼ cup at a time onto it.
Spread the batter out ever so slightly so that the pancake is larger and more even looking in thickness.
Wait about 2-3 minutes for the edges to look a bit firm and the bubbles to appear on the top before flipping over.
Cook the other side for another 2-3 minutes until golden brown. Repeat for all pancakes.