I think I found what you were looking for if I read this report right the Name of the Gunboat was Bridgeport.
a link...
https://ehistory.osu.edu/books/official-records/077/0015
MAY 10, 1864. -Affair with guerrillas at Winchester, Tenn.
Report of Colonel Henry K. McConnell, Seventy-first Ohio Infantry.
HDQRS. SEVENTY-FIRST Regiment Ohio VET. VOL. INFTY., Elk River, Tenn., May 11, 1864.
SIR: I have the honor to report that the guerrillas at Winchester yesterday morning were those of Hays and Davis, and were from thirty to forty in number. Captain McConnell drove them from ten to fifteen be moving in this direction his probable route will be by Lexington, Pulaski, and Fayetteville, a distance of more than 100 miles. We are keeping a vigilant lookout in that direction. We lack 20,000 rounds of ammunition of the quantity required to be kept on hand. I received intelligence yesterday of 300 bushels of corn being brought from below to be manufactured into whisky. I can secure the corn by going not more than ten miles. There can be nothing permanently in the way of mapping until we can secure instruments for that purpose. Mr. Gilham, who lives near this post, will be of great use to us employed in secret service. Can he be so employed? There is also a colored man at Winchester who is regularly reporting here, and will also be of service.
Respectfully, your obedient servant,
H. K. McCONNELL,
Colonel, Commanding.
Captain PHELPS PAINE,
Assistant Adjutant-General.
MAY 12, 1864. -Skirmish at Jackson's Ferry (Hallowell's Landing), Ala.
Report of Captain William A. Naylor, Tenth Indiana Battery.
ON BOARD U. S. GUN-BOAT A, Bridgeport, May 14, 1864.
SIR: The following report of trip No. 2 of the U. S. gun-boat is respectfully submitted:
May 11, got under way at 5 a. m. ; ran down the river; wooded at Price's, twelve miles below, on south bank of river; passed Rowan's Landing at 12 m. ; stopped at Piney (or Seven-Mile) Island, on the north side, near the head, and reconnoitered the island, it having been reported that a band of guerrillas had been there. We found a lot of horses two of which were marked U. S. ; ran down to the foot of the island and landed on the south side; made Gunter's Landing about 5 p. m., fired two shells, and landed a detachment of sharpshooters, who discovered a body of cavalry, about 200, stationed at Guntersville; threw three or four shells. Scouts called in at 6 p. m. ; they brought off a citizen named T. F. Capehart, who is kept under guard. Moved down to Johnston's, receiving two or three shots from sharpshooters stationed on the south bank of the river, and anchored for the night.
May 12, got under way this morning at 4; ran down to Whitesburg, arriving about 7 a. m. Colonel Jackson, commanding post, reported about 2,000 rebel troops at Gadsden; crossed the river and wooded at the rebel works; sent out scouts, who discovered about FIFTY of the enemy a mile from the river; fired a few shells, when they left; ran up and landed a detachment of sharpshooters about a mile below Hallowell's wood-yard, or Jackson's Ferry, then proceeded to the ferry and set ashore another detachment, and reconnoitered half a mile back of the landing, and waited for the detachment landed below to arrive. At this time the rebels, number unknown, concealed among the rocks and bushes, opened a cross-fire on our party, wounding 3 men, 1 of whom died soon after being brought on board the boat. As the fire was from three directions, it was impossible to see or know the force of the enemy. The riflemen fell back to the boat; backing out into the stream, we shelled the landing; crossed to the opposite side, wooded, returned to the landing, and set ashore a detachment of men for the purpose of burning the buildings. They found 17 horses and mules, which were killed, it not being possible to bring them off. The rebels opened fire on them, when we shelled them out, and our party, under cover of the fire from the boat, burned all the buildings; two of them contained loose cotton. In landing to take the men aboard the enemy attempted to flank us and cut the burning party off from the boat, but were repulsed by another detachment which we landed and two discharges of canister. A party of contrabands came and begged to be taken off. The party consisted of five men, six women, and eighteen children. After taking them aboard we proceed up the river, making Gunter's Landing about sunset. Landed and took on wood on north side of the river; were fired into by riflemen in the works at the landing. We threw a few shell into the works, when they left. The inclosed order* was picked up at Hallowell's wood-yard and is respectfully forwarded.
May 13, ran up the river until 1 a. m., when the for became so heavy could proceed no farther, and anchored about twenty-five miles below Bridgeport. Got under way an hour after sunrise, the fog having cleared up; stopped to wood about two miles below Cool Creek; passed pontoon-boat at mouth of Cool Creek; arrived at Bridgeport at 1 p. m.
Very respectfully, your obedient servant,
W. A. NAYLOR,
Captain Tenth Indiana Battery, Commanding Boat.
Colonel KRZYZANOWSKI,
Commanding Post, Bridgeport.
Bringing the