Pimento

If Wikipedia is correct, and if I'm reading it correctly, I think the setter has got a little confused here. Jamaica pepper, according to Wikipedia, is indeed another name for allspice, which is also known as pimenta (spelt with an 'a') and myrtle pepper. Pimento is another name for the pimiento, which is also known as the cherry pepper. The red or green pepper is more correctly known as the bell pepper (which can also be yellow).