E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Cross-patch.
A disagreeable, ill-tempered person, male or female. Patch means a fool or gossip; so called from his parti-coloured or patched dress. A cross-patch is an ill-tempered fool or gossip. Patch, meaning fellow, is common enough; half a dozen examples occur in Shakespeare, as a scurvy patch, a soldiers patch, What patch is made our porter? a crew of patches, etc.