I think I confused the game you are looking for with Frank Hunters game Sumpter to Appo.
I think it's "Civil War Battleset" you are looking for now.
Package Name: EGA CIVILWAR BATTLESET v2.8
(also available in ASCII version 1.81)
Configuration: IBM PC-MS/DOS 2.1 or later, 256k memory,
360k disk, EGA monitor / card.
First Release: ASCII version in 1990; EGA upgrade in 1992.
Purchase Price: EGA version - $10
Description: CIVILWAR BATTLESET
Award winning detailed 1 player tactical-level game of
historically accurate battles from the American Civil
War, now with EGA graphics and 2-player capability.
Easy enough for beginners, and with advanced features
detailed enough for war gaming veterans. Used by
colleges and schools in history classes, and by
re-enactment groups. Most of the major battles of the
war are covered, some with several variations. Has a
random scenario generator to create new challenges, or
you can custom design your own battles using the
editor program. Units include infantry, 4 kinds of
artillery, gun boats, cavalry, generals, each with
unique abilities. Terrain includes clear, trees,
roads, swamps, water, bridges, hills, mountains,
forts, etc. Engagements are affected by terrain,
morale, leadership and other factors. Includes a
campaign options to link individual battles with the
overall progress of the war. WARNING: Users report
this game can be addictive!
The one above has a strategic map where you pick the state you want to battle in and then the game goes into a tactical battle screen.
It has the following battles:
Gettysburg,5,getty1.civ,getty2.civ,getty3.civ,getty1d.civ,culphill.civ
Washington,5,bullrun1.civ,fbullrun.civ,manass2.civ,bold.civ,fred.civ
Antietam,2,antietam.civ,sharpsbg.civ
Kentucky,1,perryvil.civ
Valley,0
Richmond,6,chancevl.civ,spots.civ,petbrg.civ,malvrnhl.civ,nanna.civ,cold.civ
Pea Ridge,1,pearidge.civ
Nashville,5,stone1.civ,franklin.civ,stoneriv.civ,&stones.civ,donelson.civ
Memphis,1,&shiloh.civ
Chattanooga,4,chick.civ,mission.civ,chickama.civ,knoxville.civ
Raleigh,1,benton.civ
Shiloh,2,shiloh.civ,shiloh1.civ
Charleston,1,glory.civ
Atlanta,1,resaca.civ
Vicksburg,0
Montgomery,1,ebeneezr.civ
Savannah,0
New Orleans,0
Mobile,1,mobile.civ
Or it could be this one by W.R. Hutsell (this is how I confused it with Hunter both start with an H)
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VGA Civil War Strategy Game version 1.50
(c) 1994 W.R. Hutsell
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The one above is a strategy game but no tactical battles though. It's what I would call a fast paced beer & pretzels Civil War game that plays out quite well and you can play a game out in a few hours.
Both of these games might be hard to find now but they both work on XP without using DosBox to my amazement as I just loaded them both to have a look at the game screens. The Battleset game definitely has the blue/red X for infantry icons.
