Jock:
Pimento means Allspice when referring to a spice. I urge you to read this reference:
Jamaican Pimento
Excerpt (which may explain some confusion): The name Pimento originated from the Spanish word "pimienta" (pepper or peppercorn). To most English speaking people the tree is called "pimento" and the berries "allspice". The name allspice originated from the popular notion that the pimento berry contains the characteristic flavour and aroma of cloves, nutmeg, cinnamon and pepper, all combined in one spice.
Luc H.