See LAG, subs., senses 3 and 4.
Verb. (old cant).To wash down; to drink.
1567. HARMAN, A Caveat or Warening for Common Cursetors (1869), p. 85. The vpright cofe canteth to the Roge: I saye by the Salomon I will LAGE it of with a gage of Benebouse; then cut to my nose watch.