Might we be talking about the same person as Thomas Baker (musician)
(dates of birth and death missing, but biography interesting...- I think possibly so. One may have to see what one can find of the shape of his output in LoC (checking for physical proximity in temporal proximity so as to try to assure one's looking at the same composer/arranger)...)-- oh, definitely the same. "The Black Crook Galop"? The IBDB Database Entry for Thomas Baker (musician) lists a show, "The Black Crook", in which he participated, which ran from 1870 to 1871. --Also identified as 'Leader of Jullien's Orchestra' - also was "Manager of the publishing department of the great music house of Jullien & Chappels, London;" then "Musical Director and Conductor at Niblo's Garden."