These horn coral fossils were seen at the New Harmony Indiana USA Working Men's Institute Museum & Library in June 2020. Accession numbers are WMI 50.46 and 50.013.
The one on the left is Siphonophrentis (O'Connell, 1914) and on the right Heterophrentis (Billings, 1875). They existed in the Devonian Period. I wonder if they were found at the Falls of the Ohio. The genus was named by Dr. Marjorie O'Connell in 1914, click her name to read about her fascinating life.