Complex sentence: Fallon is accompanied by a full band, including Popper, Gaslight Anthem guitarist Alex Rosamilia and Horrible Crowes guitarist Ian Perkins, and performs songs from "Painkillers" and also from "Elsie", the album from another band of his, The Horrible Crowes.
Split into simpler sentences: Fallon is accompanied by a full band, including Catherine Popper, The Gaslight Anthem guitarist Alex Rosamilia and The Horrible Crowes guitarist Ian Perkins. The band performs songs from "Painkillers" and also from "Elsie", the album from the other band of Fallon's and Perkin's, The Horrible Crowes.