One of the other UCL pages notes that in 1826 Yorkshire Hall was: "In lawful possession of Thomas Skelton by his attorney William Chichester". That suggests to me that William did not (then) own plantations, but was heavily involved in their management. He may later have acquired the land from the Skeltons, as Jared does appear to be an owner.
Additionally, this Google Books result from The London Gazette includes the "east half" of Yorkshire-hall in the legacy of Benjamin James Hopkinson in December 1839.
If Mary Skelton left "three fourths" of Yorkshire Hall, two of those quarter shares presumably merged to form Hopkinson's half. He may have been the owner of the fourth quarter that Mary Skelton did not hold, or could have acquired two of the Skelton portions.
Given that William Chichester's page at UCL states that he was "one of the executors of John Hopkinson" in 1822, it looks like the Chichester, Skelton and Hopkinson families were quite closely intertwined in Guiana.
Browsing the UCL pages, it looks like the Hopkinson family was large, had part-shares in many estates, and the horde of descendants tended to squabble over inheritances. This means there may be some complex ownership webs to unravel, but thankfully Yorkshire Hall doesn't appear to be involved in that mess.
I think you need to find out what the Skeltons have in their closet as they have the clearest chain of ownership here. I would also try to discover the maiden name of Jared's wife Maria Dorothea - if she were a Skelton or Hopkinson, for example, Jared could have inherited the plantation by marriage rather than from William.
It might also be worth pursuing the "Dormant Funds in Court (Chancery)" of Middleton vs Chichester which appears to concern the estates of Maria Dorothea Chichester and Jared Chichester. Given that you have Middletons related to ChichestersMiddletons related to Chichesters, I would make a guess that Jared and Maria had no heirs, so Jane, Jared's sister, sought to inherit. As this case was opened in 1872, but was "dormant" in 1911, I wonder if Jane died before closure.