Lincoln’s call for 75,000 troops was on April 15, 1861. Davis’s call for 100,000 troops was made on May 6, 1861
I have several sources that list March 6, 1861 as the date that the con-feds authorized 100,000 troops, not May 6th.
Here’s just one example:
https://civilwargazette.wordpress.com/timeline/
It shows:
March 6 – The new Confederate Congress authorizes the use of 100,000 volunteer soldiers for twelve months.
April 15 – President Abraham Lincoln calls for 75,000 volunteers to serve a 90-day term in the U.S. Army to quell the rebellion. In December 1860 there were barely 16,000 men in the Army, most positioned in the Western region of the United States.
May 8 – President Jefferson Davis calls for 400,000 volunteers to serve in the rebellion for three years or till end of the war. The response by Southerners was overwhelming.