The only action I know of is the actions listed below. My GGF and his brother Robert A. and James Tyre Nolan were also in Company I. I will look at my cross references and see if there was any thing else. If you have not been to my web site listed below, go and enter the Six Texas and Company I. This is where I have put all I have found to date. Let me know if you have other questions or find specifically that your kin died at Davis Mills.
Skirmish on Yocknapatalfa near Mitchell's Cross Roads MS Dec. 1, 1862
Action at Oakland, MS Dec. 3, 1862
Raid and Capture of HollySprings, MS Dec. 20,1862
Action at Davis' Mills, Wolf River, MS Dec. 21, 1862