Green’s Dictionary of Slang

partial adj.

1. inclining more to one side than another; crooked.

[UK]Grose Classical Dict. of the Vulgar Tongue (2nd, 3rd edn).
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.

2. (UK Und.) picking a pocket [? one chooses one pocket over another].

[US]Matsell Vocabulum.
[Aus]C. Crowe Aus. Sl. Dict. 56: Partial, stealing.