 Eventually running low on provisions, he was sent to get supplies from Fort Winnebago with General Henry and Colonel Dodge.While there, they received news that Black Hawk had been sighted in the area and it was decided that Dodge and Henry would pursue Black Hawk while Alexander would return to the main force with the supplies.At the Battle of Bad Axe, he and Posey led the right flank and was part of the final charge with Dodge, Henry and Posey which ended the battle.