Births prior to approx 1850 and many family trees and summaries for Antigua and other leeward surnames are in "The History of Antigua" (in III volumes) by Vere Langford Oliver
There are also "Monumental Inscriptions of the West Indies"
and "Caribeanna" volumes i-vii (I think that it)
Most are now online although they are huge and must be downloaded to search effectives as pdf. Oliver's History is the ulimate source for colonial information and atmosphere re Antigua and the other leewards from settlement to emancipation.Incidentally there is quite abit in there on Middletons....