Origin and history of tavern

c. 1300, "establishment that sells and serves drinks and food," from Old French taverne (mid-13c.) "shed made of boards, booth, stall," also "tavern, inn," from Latin taberna "shop, inn, tavern," originally "hut, shed, rude dwelling."

For -b- to -v- shift, compare Old French governer "to steer" from Latin gubernare. Taverner "tavern-keeper" as a surname is from late 12c.; Taberner is attested from late 13c. as a surname, perhaps from Latin tabernarius. 

Þe tauerne is þe deueles scole hous, for pere studieþ his disciples, and þere lerneþ his scolers, and þere is his owne chapel, þere men and wommen redeþ and syngeþ and serueþ hym. [The Book of Vices and Virtues, c.1400]