Note that "A. Reichel" could be (Carl) Anton Reichel, a composer mainly for piano; there have been several composers with this surname (Hofmeisters Monatsberichte lists two works in a nearby timeframe, the first under "Reichel (Ad.)", both as opus 16 but only the latter seeming likely to be "our" Adolf Reichel's opus 16 given the timeframe of his other works. The first is a set of three mazurkas published in 1849 by Hofmeister, a year before Adolf Reichel’s opus 13 lieder (it seems) and 7 years before the violin sonata opus 16 (8 years before the piano trio opus 17) that probably are by this Reichel... only on op.22 (a set of 2 republished and arranged in 1883 from a larger set of 4 published in 1867) and opus 67 (1885) does Hofmeister spell Adolf/Adolph's name out in full, it seems. This was also the time of flourishing of composer Friedrich Reichel (Christian Friedrich Reichel? 1833–1889), but unless a score was published with just "Reichel" on the cover, little confusion seems likely there. His autobiography may settle some attribution questions that might otherwise arise, though (Lebensinnerungen, 1864/1892?) as well of course as being interesting (hopefully a copy might be uploaded here?).