allspice means: It is a member of the pimento tribe and is native to tropical areas. The brown berries are similar in flavor to cinnamon, cloves, nutmeg and ginger. Jamaican pepper is another name for allspice. (in Cooking Dictionary)

What else does allspice mean?

An evergreen tree (Pimenta dioica) Native to Central America, Mexico and the West Indies, these flowers have simple, white leaves with clusters of white flowers in cymes. (in Merlin Dictionary)

This plant’s dried, almost-ripe fruits can be used to make a spice. (in Merlin Dictionary)