This is how the Oxford English Dictionary represents this obsolete measure:
league lig, sb.1 Forms: 4-5 leghe, 4-6 lege, leuge, (4 lewge, 5 lewke, leuke, leeke), 5-6 leege, 6 legge, le(a)que, Sc. lig, 6-7 leag(e, 6- league. Late ME. leuge, lege, leghe, etc., ad. late L. leuga, leuca (= late Gr. leu'gh, leu'kh), according to Hesychius and Jordanes a Gaulish word; hence OFr. liue, liwe (mod.Fr. lieue), Pr. lega, legua, Cat. llegua, Sp. legua, Pg. legoa, Ital. lega.
An itinerary measure of distance, varying in different countries, but usually estimated roughly at about 3 miles; app. never in regular use in England, but often occurring in poetical or rhetorical statements of distance.
Thus, a league outside Geneva. would be, perhaps, an hour's easy walk from the town.