Could you specify some places this applies to? It certainly isn’t the case with in New Zealand, and I’m reasonable certain that applies to Australia and the UK too.
Otherwise 'sweetcorn' or 'corn on the cob' ('corncob') are common. But you can't have e.g. 'wheat on the cob' so it's not ambiguous.
May be you can find reference to corn in Chaucer, I don't exactly remember if it is there for sure.