There are three Ashland Tragedy ballads, all called "The Ashland Tragedy"; they are Laws F25 (Roud #2263), F26 (Roud #2264), F27 (Roud #2265).

F25 begins, in Cox's text,
Dear father, mother, sister, come listen while I tell
All about the Ashland tragedy, of which you know full well,
'Twas in the town of Ashland, all on that deadly night,
A horrible crime was committed, but soon was brought to light.
Sources are:
Laws F25, "The Ashland Tragedy I"
Cox-FolkSongsSouth 36, "The Ashland Tragedy" (1 text)
Burt-AmericanMurderBallads, pp. 58-59, "The Ashland Tragedy" (1 text)
Cohen-AmericanFolkSongsARegionalEncyclopedia1, pp. 254-255, "The Ashland Tragedy" (1 text)
DT 737, ASHLANDM
I suspect this one is sung to "Charles Guiteau," but the only known recording seems to be by Joe Hubbard, Library of Congress recording 2825 A1.

F26 begins, in Thomas's text:
Come dear people from far and wide
And lend a willing ear to me
While I relate the cruel facts
Of Ashland's greatest tragedy.
Thomas is the only source, and gives no tune:
Laws F26, "The Ashland Tragedy II"
Thomas-BalladMakingInMountainsOfKentucky, pp. 156-158, "The Ashland Tragedy" (1 text)
DT 806, ASHLAND2
No tune has been preserved.

F27 begins, in Thomas's text:
Oh have you heard the story,
It happened long ago,
Of the Gibbons's children murder
And Emma Carico.
Thomas is again Laws F27, "The Ashland Tragedy III"
Thomas-BalladMakingInMountainsOfKentucky, pp. 160-162, ("The Murder of the Gibbons Children") (1 text, 1 tune)
DT 802, ASHLAND3
Again, no tune has been preserved.

Elijah Adams wrote one of the first two, but it's not certain which. I'd guess F25, just because it's much better known. Bill Terrell may have written F27.

Unless you can get your hands on that LoC recording, I'd take a text of F25 (it's in Cox, Burt, and Emrich's "American Folk Poetry") and sing it to "Charles Guiteau." There really isn't anything else to be known.

All this information is of course readily available in the Ballad Index and in the Roud Index, both of which are, of course, freely available for the cost of adding a bookmark to your browser!