Green’s Dictionary of Slang

possesh n.

[abbr. SE possession]

a homosexual boy who is used for sex by the tramp he accompanies.

[US]N. Klein ‘Hobo Lingo’ in AS I:12 652: Possessh—a hobo’s youthful companion.
[US]‘Dean Stiff’ Milk and Honey Route 211: PosseshRoad kid. The hobo’s boy companion.
[US]G. Legman ‘Lang. of Homosexuality’ Appendix VII in Henry Sex Variants.
[US]Guild Dict. Homosexual Terms 36: possesh (n.): A young boy or road-hobo, who is pedicated, protected, and perhaps used in begging. Said to be a contraction of ‘possession.’ (Rare.).
[US](con. 1930s–40s) B. Rodgers Queens’ Vernacular 108: Hobo slang (kwn ‘30s & ‘40s) [...] The adolescent who usually doubled as cook/lover to a homosexual hobo was called a [...] possesh.

In phrases

in one’s possesh

on one’s person, in one’s possession.

[UK]‘Doss Chiderdoss’ ‘Within Their Incomes’ Sporting Times 9 Jan. 1/2: I’ve only sevenpence in my ‘possesh’.