I checked out the The Geological Society of America Memoir 93, Silurian and Devonian Corals of the Falls of the Ohio by Erwin C. Stumm from 1964. It was used to help identify some coral fossils I found weeks ago but needed some help naming.
The names are old since the books is 44 years old but I will leave for now till I get a chance to look up the new names.
Also the species is probably wrong since these fossils came from dirt piles dumped in Louisville and could be from different layers of rock from the Louisville area.
In the book, I used images from Plate 63 FAVOSITIDAE on pages 154-155 with the description on page 66 to help name this specimen.