In August 1858, 12 men, including 7 members of the Yreka Brass Band (John Murray, leader; I.G. Murray, W.I. Mayfield, John Garner, A.J. Starling and Louis Detarre) walked to (50 miles or so) and then ascended Mt Shasta, California, with their instruments, playing “Hail Columbia” and other patriotic tunes on the summit at a height of 16,700 feet. The trip, there and back, took three days. Not something the bands of today would take on easily! The picture below is of another, unknown, mountaineering band, c.1870 on Lookout Mountain (a mere 2,389 feet high) on the Georgia/Tennessee border.
For the full story, see: Ascent of the Butte [Chronicling America]