means To walk with steady, regular steps, especially in a group moving together with purpose — or the act of doing so; as a noun, also the third month of the year.

from Two different words wearing one spelling. The walking 'march' came through Old French 'marcher' (to tread, to walk), of uncertain deeper roots — possibly from Frankish or even Latin 'marcus' (hammer), as if the foot strikes the ground like a tool. The month 'March' is older and grander: from Latin 'Martius,' the month sacred to Mars, the god of war — when winter loosened its grip and armies could take the field again. So one march is feet, the other is fury, and both arrive in spring.