Ancient Caciques of Jamaica

Whilst perusing Bachiller y Morales on indigenous Cuba and the Taino language, we came across references to aboriginal Jamaica. Apparently, back in 1607, Gregorio Garcia, who sought to uncover the origins of Amerindian peoples, wrote that the last three caciques of Jamaica were Beroica, Bemboroica, and Abemberoica. It would be fascinating to find Garcia's source for these names of Jamaican caciques. From the testament of Diego Mendez, we know of Ameyro and Huareo as caciques of Jamaica at the time Columbus was shipwrecked there. For caciques after or before, we are lost and would love to know more. Sadly, attempting to look this up only led us to Rafinesque, who tried to date these aforementioned Jamaican caciques to the 1400s. Rafinesque also attempted to historicize the traditions and myths of Ramon Pane on Hispaniola with linguistic and historical evidence to reconstruct the precolonial past of the West Indies (unconvincingly, we might add). More verifiable are the 8 or so caciques of Jamaica listed in The Jamaica Reader: History, Culture, Politics: Aguacadiba, Ameyao, Anaya, Guayguata, Huareo, Maynoa, Oristan, and Vaquabo. The first of these is mentioned as a place by Diego Mendez.