The night before, mix together the 1/4 cup starter, 1/2 cup flour and 1/3 cup water to create the overnight starter. Cover loosely and let it sit overnight (6-12 hours).
In the bowl attached to a stand mixer (or in a large mixing bowl if doing by hand), mix together the overnight starter, egg, water, oil, honey and salt. Add the flour 1/2 cup at a time until the dough pulls away from the sides of the bowl and is not sticking to the bottom of the bowl. Continue kneading for about 8 minutes. The dough should be elastic and tacky.
Cover the dough and let it rise for 5-6 hours.
Remove the dough onto a lightly greased surface and divide in half. Form each half into about a 9"x11" rectangle. Roll the dough up, cinnamon roll style, leaving the dough 9" long. Place the dough, seam side down, in a greased loaf pan.
Cover and let the dough rise until it domes above the sides of the pan. This can take between 5-8 hours depending on your starter and room temperature so be patient.
Once the dough is fully risen, you can bake right away or refrigerate overnight. If you choose to refrigerate, cover the dough tightly with plastic wrap or place in a large Ziploc bag. Allow the dough to rest at room temperature for at least an hour before baking.
Bake at 375 degrees F for 15 minute. Cover the loaves with tinfoil and bake an additional 10-15 minutes or until the internal temperature is 190 degrees F.
Remove the loaves immediately from the pans and allow to cool on a wire rack. Slice and enjoy!