Technically called the Hope Botanical Gardens is a 200-acre (81 ha) park and gardens located in Kingston. Major Richard Hope's estate was established after 1655 when the British took over Jamaica from the Spanish.The gardens were established in 1873 from a section of his estate. Richard Hope was a commander in the British Army and received his estate due to his assistance in regaining control of Jamaica from the Spanish.
Attractions at the gardens include a palm grove, a cactus garden, an orchid house, and ornamental ponds. This site is maintained by the Ministry of Agriculture and Fisheries.
[adapted from Wikipedia]
Personal note: the orchid house has mostly collapsed, and the ornamental ponds are out of water, but it is an absolutely lovely space to walk aroudn in and has a lot of things to see, including some exciting species of plants and trees. The Hope Gardens are also home to the relatively well-maintained Hope Zoo.
The cache is close to the Chinese Garden.