Luckily for your ancestor he enlisted after the Crescent’s first major battle at Shiloh where the regiment had a total of 127 casualties. He probably was engaged at Fort Bisland on April 12-13, ’63. http://en.wikipedia.org/wiki/Battle_of_Fort_Bisland Again luckily for Fulghum he was transferred to the hospital in Texas (with pneumonia) only days before the Cons. Crescent’s last major battle at Mansfield on April 8, ’64. There they had around 175 casualties. I would also recommend ordering his service records from this website.
I am researching the regiment and have created a “virtual cemetery” for its veterans. Fulghum’s burial location is at this link if you haven’t seen it yet.
http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=32474036
If you have any personal information or photos of him I would love to include it in my notes. I can fill in a little more on his marches and locations but I don’t know anything more about the hospitals or records there. Please feel free to contact me at crescentregiment@comcast.net if you have any more questions.