Were There Famines In England?

Yes there are a number of periods of Famine recorded in England.

The 1315 famine marked the beginning of a series of hardships which hit England, during the fourteenth century. England was economically prosperous at the beginning of the fourteenth century.The Great Famine marked thebegining of a series of crises, which defined  the fourteenth century.
Johannes de Trokelowe had this to say about the Famine:-
"Famine and pestilence swept over Europe so often during the Middle Ages and exacted so frightful a toll of human life that the phenomenon has come to be regarded as one of the most impressive features of the period."  

"The dearth began in the month of May and lasted until the feast of the nativity of the Virgin(September 8th )…Around the end of autumn the dearth was mitigated in part, but towards Christmas it became as bad as before."  Parts of England were devastated.