You may have already found this information but here is briefly the story of Elyton.
Transcribed from ALABAMA, HER HISTORY, RESOURCES, WAR RECORD,
AND PUBLIC MEN FROM 1540 TO 1872, by W. BREWER
"Elyton is the seat of justice. It was incorporated Dec., 20, 1820, having been laid out just previous to that date, and Matthew H. Gillaspie, Samuel Hall, Wm. C. Tarrant, and Col. John Martin were appointed to hold the first municipal election. It now has about 700 inhabitants. It is named for Mr. W. H. Ely, the agent of the deaf and dumb asylum, and who deeded to the county the quarter section of land on which the town stands on the condition that the courthouse should be erected here."
Elyton was named for William Ely of Connecticut. His "asylum for the deaf and dumb" in Hartford was given a grant of lands in Alabama in 1819. The sale of the land was used to fund the operations of the asylum. Ely donated part of the land for a county seat. In gratitude, the residents named the area Elyton.
The Birmingham Library is your best resource as the other researcher has mentioned.