I have seen this debated in several books.
Perhaps so, but why give time of day to the rewriters of history ?
The name was given to Jackson by his contemporaries.
That should end the question.
General summary of events :
“ McDowell’s new plan depended on speed and surprise, both difficult with inexperienced troops. Valuable time was lost as the men stumbled through the darkness along narrow roads. Confederate Col. Nathan Evans, commanding at the Stone Bridge, soon realized that the attack on his front was only a diversion. Leaving a small force to hold the bridge, Evans rushed the remainder of his command to Matthews Hill in time to check McDowell’s lead unit. But Evans’ force was too small to hold back the Federals for long.
Soon brigades under Barnard Bee and Francis Bartow marched to Evans’ assistance. But even with these reinforcements, the thin gray line collapsed and Southerners fled in disorder toward Henry Hill. Attempting to rally his men, Bee used Gen. Thomas J. Jackson’s newly arrived brigade as an anchor. Pointing to Jackson, Bee shouted, “There stands Jackson like a stone wall! Rally behind the Virginians!” Generals Johnston and Beauregard then arrived on Henry Hill, where they assisted in rallying shattered brigades and redeploying fresh units that were marching to the point of danger.
About noon, the Federals stopped their advance to reorganize for a new attack. The lull lasted for about an hour, giving the Confederates enough time to reform their lines. Then the fighting resumed, each side trying to force the other off Henry Hill. The battle continued until just after 4p.m., when fresh Southern units crashed into the Union right flank on Chinn Ridge, causing McDowell’s tired and discouraged soldiers to withdraw.”
An animated view of the Battle of Henry Hill.
This timeline account goes to support Bee’s statement to be positive.
The Alabama were disorganized and behind the Virginians. They organized and moved up to renegade in the fight,
https://m.youtube.com/watch?v=C0QKsrSdrj0