I am interested in both Samuel and Jacob. First, I wonder if Jacob was wounded at Franklin, TN or Franklin____??? since the battle of Franklin occurred on Nov. 30, 1864. maybe 10/30/64 is a typo. Maybe December 1864.????
It seems unlikely that he would be sent to Lauderdale Springs from Tennessee since most of the wounded were left behind at Franklin, taken prisoner after the battle of Nashville in December when the federal forces reentered Franklin while pursuing Hood's retreating army. Most were then either transported to Nashville or further north. At least those that could be transferred.
It is possible that he was wounded during action starting in N. Alabama prior to the army going into middle Tennessee, or in action around Spring Hill or Columbia, TN in the middle part of November.
How much of the information you have is based on the official records? If not, I still recommend getting copies of both men's records. I have found in family related folders sometimes information for one man is incorrectly filed in the other's folder on microfilm.