The only Levi Jones listed in the Roster of Union Soldiers, 1861-1865, from Ohio is:

Jones, Levi OH 160th Inf. Co.K

no middle initial - there are 4 others listed; one with middle initial 'M' and 3 with middle initial 'W' which probably is the same man listed 3 times.

160th OH Inf Reg organized at Zanesville & mustered in 5/12/1864 - went to Harpers Ferry, WVA 5/12 - detached for duty guarding supply train at Martinsburg - assigned to Reserve Div, Dept of WVA 5/25 - moved to Woodstock, VA - detached and moved to Martinsburg in charge of supply trains - Newtown 5/29-30 - skirmish at Middletown 6/7 - operations in the Shenandoah Valley in charge of wagon trains to July - operations about Harpers Ferry 7/4-7 - Maryland Heights 7/6-7 - duty in trenches about Harpers Ferry to 8/25 - ordered home and mustered out 9/7/1864
Reg lost during service 1 enlisted man killed and 1 officer and 14 enlisted men by disease. Total 16.

Dyer's Compendium of the War of the Rebellion, Vol II, page 1552

Jones, Levi W. OH 179th Inf. Co.I
this unit organized at Camp Chase, OH & mustered in 9/29/1864 - sent to Nashville, TN - arrived 10/8 - attached to Post at Nashville,TN, Dept of the Cumberland to Dec 1864 - 2nd Brig, 4th Div, 20th Army Corps, Dept of the Cumberland to March 1865 - Post of Nashville to June 1865
SERVICE: engaged in Post and garrison duty at Nashville, TN, Oct 1864-June 1865 - Battle of Nashville 12/15-16 - mustered out 6/18/1865
Reg lost during service 80 enlisted men by disease

Jones, Levi W. OH 187th Inf.
also organized at Camp Chase, OH & mustered in 3/2/1865 - left for Nashville, TN 3/3/1865 - Provost duty at Nashville, TN, Dalton & Macon, GA to Jan 1866 - attached to 1st Brig, 2nd Separate Div, Dist of the Etowah & Dept of GA - mustered out 1/20/1866
Reg lost during service 1 enlisted man killed and 1 officer and 52 enlisted men by disease. Total 54.