Combine the maple syrup and rum together into a small pot.  Place it over medium heat and let it come to a simmer.  Turn off the heat and set aside.

Whisk together the eggs, cream, cinnamon, nutmeg, salt, vanilla extract, and granulated sugar until smooth.  Soak each slice of bread in the egg mixture until completely soft and soaked through but it's still holding it's shape.

Heat a skillet on medium high heat with 1 tbsp of butter and 1 tbsp of oil.  Once hot, place the soaked bread onto the hot pan.  Flip once it's golden brown and finish on the other side.  Serve hot with the syrup.