The records on Fold3 indicate his rank as second lieutenant, died Jan 9 1863 some days after wounds inflicted at Murfeesboro.
The records there also clarify the discrepancy with regard to Fort Donelson and Battle of Stones River/Murfreesoboro, which are 11 months apart. It seems he was captured after Fort Donelson, held at Ohio prisoner depot, paroled/exchanged, fought at Murfreesboro, was wounded and captured then died Jan 8, 1863.
Here are my noted from Fold 3 records:
2 Lt, Francis Tryon - Muster-in roll - Age 33 - Roll Dated Jul 13, 1861. Joined for duty and enrolled jul 13 1861 at Camp Boone, Tennessee. Traveling 175 miles to Rendezvous. Remarks: Detached service - Hospital, Aug 1, 1861.
Appears Roll of Prisoners of War a Camp Chase, Ohio. Arrested Fort Donelson, Feb 16, 1862. Transferred to Johnson's Island April 10, 1862.
Appears on Roll of Prisoners of War at Depot Prisoners of War, near Sandusky, Ohio. Captured Feb 16, 1862, Fort Donelson. Sent Vicksburg, Sept 1, 1862.
Nov 1862 Absent Murfreesboro - Regimental Returns
"Missing since battle of Murfreesboro"
Appears on Roll of Prisoners of War at Johnson's Island, Sandusky, Ohio. Roll dated Sept 1, 1862. Captured: Fort Donelson, Feb 16, 1862.
Appears - list of officers captured and paroled at different times and places, exchanged Nov 8, 1862.
Dec 1862 - Present - Murfreesboro - Regimental Returns
Report of wounded moved to General Field Hospital and Murfreesboro, Tenn., from Branch Field Hospital. Admitted jan 3, 1863. Sent to Murfreesboro Jan 8. Complaint/gunshot: flesh right hip.
Appears on a list of confederate prisoners who died within the Federal lines in the Department of the Cumberland from Dec 31, 1862 to March 1, 1863. Taken prisoner: Stone River. Cause of Death: Gunshot wound. Date of death Jan 9, 1863, Murfreesboro.
Appears on list of killed wounded & missing in Hanson's Brigade, in the actions before Murfreesboro, Tenn., Dec 31 1862- Jan 3 1863. Wounded, Severely. Supposed mortally, left on field.
Nov/Dec 1862 Company Muster roll - notes Wounded at battle of Murfreesboro Jan 2, 1863 and since died.
Jan/Feb 1863 Company Muster - notes - Died from effects of wounds received at Murfreesboro January 9, 1863.
Appears on a register of Prisoners of War, Dept of the Cumberland. Captured: Stones River, died January 9, 1863.