Basically what lymond said
I don't see a good reason to move the settler where he is in the posted screenshot. You (probably) wouldn't see the corn without moving him, so settling in place would be a fine choice. I suspect there was a hut where the settler is now, and you went there to grab it (and got a map). If you had settled in place, that hut would have automatically grabbed it anyway, as it would be inside your cultural border.
By settling in place (2E of pig), you would miss out on the corn (that you wouldn't know about), but you'd get a fine collection of (green) hills, a floodplain, and quite possibly two more floodplains. That would give you plenty of food to work with, and possibly more depending on what is revealed to the east. You'd be riverside for extra

and be coastal for a possibility to build the Great Lighthouse (assuming this is present in whichever version of the game you have -- I've only ever played BtS, coming late to the game). Later on you could put a city 1W of the pig, to grab both the fish and the corn, and the pig in overlap with the capital (though naturally the capital needs to work it at all times). The jungle to the north is offputting, but you could have a city up there to grab spice and corn.
Overlap is good. It keeps your empire more compact, which means lower maintenance costs (not a big problem on lower difficulties, but a huge issue on higher), and it would be easier to defend against barbs and other AIs with nasty intentions.
Maybe there is more seafood to the SE, so you could put a city over there, maybe helping to grow cottages for the capital on the floodplains (another reason overlap is good). Maybe yet another fine spot NE, where all the hills are, provided there is some good food to "fuel" them.
A good general rule to follow is that
"All cities should have food, and all food should have cities".
Your empire doesn't necessarily become stronger with a city with 3 sources of food (though it would make for an excellent Great People farm). Maybe 3 cities with a source each is better. More commerce, and more cities to build units to kill other AIs with.
(edit) I see you mentioned this is on vanilla, on a huge map. Even more reason to try to build the Great Lighthouse then, as you're likely to have many cities, and two extra trade routes for all coastal cities is a huge deal in the early to mid-late mid game.