Green’s Dictionary of Slang

to travel or wander, esp. as a beggar.

1846		Swell’s Night Guide 134/2: Tramp, to wander as a beggar.
1848		‘Ned Buntline’ Mysteries and Miseries of N.Y. I 13: Wall, tramp along, chummy.
1866		Wild Boys of London I 155/1: We shall have to tramp out and put up with the best we can get.
1881		Bulletin (Sydney) 12 Mar. 9/1: I was [...] ‘stone broke,’ tramping it with an 80lb swag, and living on ‘Johnny cakes’.
1884		(con. c.1840) ‘Mark Twain’ Huckleberry Finn 91: Keep the river road, all the way, and next time you tramp, take shoes and socks with you.
1900		Flynt & Walton Powers That Prey 257: That’s what the dead ones do over there — go trampin’ — but I ain’t sorry ’t I’m not with ’em; I don’t know how to beg as much as a piece o’ bread.
1936		(con. 1895) T. O’Reilly Tiger of the Legion 69: I decided I would tramp to Southampton .
2003		McGill Reed Dict. of N.Z. Sl. 216: tramp To go fast, from the 1930s.