John Lightfoot on Matthew 14:13

[He departed thence by ship into a desert place, &c.] That is, from Capernaum into the desert of Bethsaida, which is rendered by John, He went over the sea Which is to be understood properly, namely, from Galilee into Perea. The chorographical maps have placed Bethsaida in Galilee, on the same coast on which Capernaum is also: so also commentators feign to themselves a bay of the sea only coming between these two cities, which was our opinion once also with them: but at last we learned of Josephus, that Bethsaida was in the upper Gaulanitis, (which we observe elsewhere,) on the east coast of the sea of Gennesaret in Perea.

[They followed him on foot.] From hence interpreters argue that Capernaum and Bethsaida lay not on different shores of the sea, but on the same: for how else, say they, could the multitude follow him afoot? Very well, say I, passing Jordan near Tiberias, whose situation I have elsewhere shewn to be at the efflux of Jordan out of the sea of Galilee. They followed him afoot from the cities, saith our evangelist: now there were cities of some note very near Capernaum, Tarichea on one side, Tiberias on the other. Let it be granted that the multitude travelled out of these cities after Christ; the way by which they went afoot was at the bridge of Jordan in Chammath: that place was distant a mile or something less from Tiberias, and from Capernaum three miles or thereabouts. Passing Jordan, they went along by the coast of Magdala; and, after that, through the country of Hippo: now Magdala was distant one mile from Jordan, Hippo two; and after Hippo was Bethsaida, at the east shore of the sea; and after Bethsaida was a bay of the sea, thrusting out itself somewhat into the land; and from thence was the desert of Bethsaida. When, therefore, they returned back from thence, he commands his disciples to get into a ship, and to go to Bethsaida, while he sent the multitude away, whence he would afterward follow them on foot, and would sail with them thence to Capernaum.