In a medium bowl stir together warm milk, yeast, pumpkin puree, egg, and softened butter - wet ingredients.
In a separate bowl combine 4 cups of flour, salt, and sugar - dry ingredients.
If using a bread machine place the dry ingredients in the bottom of bread pan then pour the liquid mixture over the top. Select the "dough" cycle and press Start. As the dough begins to form a ball you can add up to the remaining 1 cup of flour as needed. Dough will be slightly sticky but should hold up nicely in the shape of a ball. Complete cycle and allow to rise 1 hour.
If using a stand mixer you can attach the dough hook and put the dry ingredients in the mixer bowl. Pour the liquid in and turn on the mixer to LOW speed. As it mixes, scrape the sides of the bowl clean twice. Add in the final cup of dough to be sure it forms a ball and now cleans the sides of the bowl. Turn up to medium speed and knead for 6-8 minutes. Remove the dough hook, cover the bowl of dough and allow to rise for 1 hour.
Remove dough from pan or bowl onto prepared surface.
Divide the dough into 24 even pieces.
Roll each piece into a small rectangle then roll up the rectangle.
Flatten the rectangle slightly with your palm and tuck in both ends of the roll.
Place on prepared pan approximately and inch apart.
Repeat for the remaining 23 rolls.
You should now have a pan with 24 rectangle dough rolls. Great job!
Allow the rolls to rise in a warm place for 30 minutes or until double in size. I prefer my oven with the light on.
REMOVE the rolls and preheat the oven to 375°F.
When ready place the pan in the oven and bake for about 13 mins. A little less if you see them browning too quickly.
Remove the rolls and brush them with a mixture of 2T melted butter and 1T honey. You won't regret it!