Its capital is Port-au-Prince (5)
I believe the answer is:
haiti
'its capital is port-au-prince' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for haiti that I've seen before include "Western part of Hispaniola" , "West Indian country, capital Port-au-Prince" , "Republic sharing WI isle" , "West Indian republic" , "earthquake-hit area" .)