where did this latter mentioned place take its name from?
From island "Xaymaca".
Jamaica
The indigenous people, the Yamaye (also known as the Taíno), called the island "Xaymaca" in an Arawakan language, meaning the "Land of Wood and Water" or the "Land of Springs".

Colloquially, Jamaicans refer to their home island as the "Rock". Slang names such as "Jamrock", "Jamdown" ("Jamdung" in Jamaican Patois), or briefly "Ja", have derived from this.
what is 1916 texas hurricane? Intense and quick-moving tropical cyclone. what is its meteorological history? It was first detected as a tropical storm east of Barbados based on a 40-mph wind measurement. Steady intensification was inferred during this period and it curved slightly towards the south of Jamaica that day with winds of 85 mph.
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Jamaica [SEP] Etymology
The indigenous people, the Yamaye (also known as the Taíno), called the island "Xaymaca" in an Arawakan language, meaning the "Land of Wood and Water" or the "Land of Springs". Colloquially, Jamaicans refer to their home island as the "Rock". Slang names such as "Jamrock", "Jamdown" ("Jamdung" in Jamaican Patois), or briefly "Ja", have derived from this.