Yes, there was. There is one surviving example of a two-handed sword from the mid-15th century in the Wallace Collection that may well be English. It has a guard and pommel style common of English swords in the period and other swords of English associations. With a 47 inch long blade and weighing 6 pounds, it is a true two hander - too heavy and long to be wielded in one hand. English men at arms (knights and those who fought like knights) of the 14th and 15th century often fought dismounted, so they could wield two-handed swords effectively (swinging a two handed weapon from horseback is not practical - among other things, it leaves no hand free for the reigns). That said, the two-handed sword was very much a 'niche' weapon that was vastly outnumbered by 'short lances' (spears) in the 14th century and pollaxes in the 15th among dismounted English men at arms. This is true of more famous two handed swords in later periods as well - the primary weapon of the 16th century landsknecht 'doppelsoldat' was the halberd, with a few being soldiers being armed with two handed swords. That said if anything two-handed swords seem even rarer in the 15th century (this may simply be survival bias, however).

Masterpieces of European Arms and Armour at the Wallace Collection by Tobias Capwell has a good write up of the sword I linked above.