E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Jog away; jog off; jog on. Get away; be off; keep moving. Shakespeare uses the word shog in the same senseas, Will you shog off? (Henry V., ii. 1); and again in the same play, Shall we shog? (ii. 3). Beaumont and Fletcher use the same expression in The CoxcombCome, prithee, let us shog off? and again, in Pasquill and KatharineThus it shogges [goes]. In the Morte dArthur we have another varietyHe shokkes in sharpely
[rushes in]. The words seem to be connected with the Dutch schokken, to jolt, and the Anglo-Saxon scacan, to depart, to flee.
Jog on a little faster, prithee,
Ill take a nap and then be wi thee.
R. Lloyd: The Hare and the Tortoise.
To jog his memory, or Give his memory a jog. To remind one of something apparently forgotten. Jog is to shake or stir up. (Welsh, gogi, to shake; French, choquer; our shock, shake, etc.)