Cream sugars and butter with mixer; add egg and beat until combined.
Add dry ingredients to a sifter. Alternate adding milk and dry ingredients to the butter mixture while mixing. Then add vanilla and stir.
Chill for 30 minutes before rolling out. Roll out into a rectangle on floured surface, spread with butter, pumpkin butter and top with brown sugar, cinnamon and pumpkin pie spice.
Carefully and tightly roll into a log, then use floss or a serrated knife to cut into equally thin slices.
Transfer to a baking sheet (they won't spread much) and bake for 14-15 minutes, being careful not to over-bake. They will be a little tender looking, but take them out, let them rest for 3-4 minutes on the baking sheet, and then transfer them to a cooling rack.