1. Sir Alexander Bustamante 2. Sir Donald Sangster 3. Hugh Shearer Some Prime Ministers of Jamaica of Irish Descent: Sir Alexander Bustamante The Most common first names of male Prime Ministers of Jamaica: 1. Alexander 2. Michael 3. Donald 4. Hugh 5. Edward The Most Common First Names Of Female Prime Ministers Of Jamaica: 1. Michelle 2. Stacey 3. Portia 4. Fexbee 5. Seedwardia The Most Common Surnames Of Jamaica's Prime Ministers: 1. Sangster 2. Manley 3. Bustamante 4. Shearer 5. Seaga