In the bowl of an electric mixer, add butter and vanilla extract and beat until creamy. Add the marshmallow creme (or fluff) and beat until incorporated.
Remove the cake from the cake pan and set it with the rounded side up. To create a tunnel for the filling, using a small paring knife, cut a curved rectangle, 2 inches long and 1 inch wide, into the top of the cake about halfway between the center hole and the outside edge of the cake, following the curve of the cake.
Cut into the cake about two-thirds deep, and use the knife to lift the rectangle out from the cake. If the hole isn't deep enough, use the knife to scrape out more cake, but don't cut all the way through to the bottom.
Repeat working around the cake, cutting out rectangular pieces to make a continuous tunnel. Set the cake pieces right next to where they were cut so they can be put back when the time comes.
Once the tunnel has been cut around the entire cake, fill it slightly just over halfway with the marshmallow filling. Any extra fluff may be reserved for another use.
Cut off half of each rectangular piece of the cake from the rough side. Place the removed cake pieces in the tunnel over the marshmallow filling to plug up the cake. Repeat all the way around the cake.
Turn the cake over so the "flat"side of the cake is up, and the plugged side is on the bottom, and place on a baking rack set over a rimmed baking sheet.