A common brachiopod found in the Irondequoit limestone Rochester Shale is Trematospira camara. It's a flattened, fan shaped rhyconellind and is the thrid most common brachiopod that I've found at the site (after Atrypa and Leptaena).
The Irondequoit limestone Rochester Shale is middle Silurian (Sheinwoodian). The specimen above was found near Lockport, NY. My ID is based on this page from the New York Paleontology web site.