In a medium sized bowl, combine the sourdough starter, milk, honey, and flour.
Cover the bowl and place on counter, at room temperature, for several hours or overnight (depending on how active starter is, estimated 8 to 10 hours).
The next morning, or after 8 hours, add the remaining ingredients by sprinkling on the baking soda and salt, and then 1 cup of the flour.
Knead the dough until smooth (about 5 minutes using a stand mixer or 10 minutes by hand) and add more flour if the dough is too sticky.
Rest the dough for about 10 to 15 minutes and then roll it out to about 1/2 thickness.
Using a 3 to 4 inch circle cutter or round glass, cut circles from the dough and place on a lightly greased baking sheet that has been dusted with cornflour.
You can rer-oll the scraps and get up to about 18 English muffins or divide the dough by 9 to make big English muffins.
Allow the muffins to rise for about 1 hour, covered lightly with sprayed/oiled plastic wrap.
When the muffins have risen, place then a few at a time, on a preheated griddle (325℉) for about 5 to 6 minutes per side or over medium-low heat for the same about of time. If in a pan, it helps to cover the pan.