French's Division only included two brigades that day, Ector's being detached. General French never wrote a report of the battle, and his memoirs are unclear on the subject of alignment.
However, French does mention that Sears' Brigade took fewer casualties because officers and men stopped at the first line of works. This statement implies that Cockrell's Brigade passed to the right of the outer works without a pause. According to French's narrative, it seems as if his two brigades began the attack in line abreast of one another.