From Middle English bescratchen, equivalent to be- + scratch.
bescratch (third-person singular simple present bescratches, present participle bescratching, simple past and past participle bescratched)
- (transitive) To scratch; scratch about; scratch all over.
2009, Henry Fielding, Joseph Andrews and Shamela - Page 203:
- I no sooner see him, but I scream out to Mrs. Jervis, she feigns likewise but just to come to herself; we both begin, she to becall, and I to bescratch very liberally.