Thanks for the mention re Jamaican Family Search - it has been useful, particularly the Malabre Manuscript (Malabre married into the DeGournay family)
The main problem is trying to find the name "King", some documents have Kingston on every entry

There were a couple of land grants that were of interest
In 1753 there was a grant of 300 (assumed) acres in Manchioneal to Peter King and family (4 in total)
In 1741, 300 acres in Manchioneal to James Bryan and family (7 in total)
In 1742, 300 acres in Manchioneal to Charles Bryan and family (1 in total, so not sure why "& family")
If our set of Kings is unconnected from all the others then I would assume Peter King and family died soon after arrival (as was the case with most of the whites that went to Jamaica) and that may be the land inherited by the brothers John and Francis King