Although there are limited digitized records for Antigua and Barbuda available, there are may microfilms available that you can request to view locally via a Family History Center (FHC). I know that using Familysearch can be daunting for many as it was for me when I first came across it. I share this information to make it easier for others. It will be amazing to see how many more people I will connect with.
So here is the thing about Antigua and Barbuda. If you initially search on these islands, you'll think that there are no civil records for the island or very limited options. Playing around in the catalog will surprise you. I tend to like using "Keywords" when I feel that the search results is too small when using the catalog. So here is what I found.
Registers of slaves in Antigua, 1817-1833 (There are 4 films, scroll down and review)
For the following list of links, scroll down on each to see the film number you'll need. If you get the same film number for many items, it is just one film. The item number just lets you know where on the film you'll find the type of records. Capture that information so that when the film arrives at the local FHC, you'll know where to fast forward on the film. Ask for assistance as they will help you at the location.
Civil Registration Records:
A catalog list of what is available, beyond the above, can be found as follows: Antigua and Barbuda
This book is available online, click on the link and you'll see the sub-links on the page. It is always good to read history so that you'll know where to search next. It has always worked for me.
The History of the island of Antigua : one of the Leeward Caribbees in the West Indies, from the first settlement in 1635 to the present time
Familysearch has the book but not for borrowing at a local location. I have used the WorldCat in the past and have ordered books and picked them up from my local library. I recommend that if you live in the USA, just enter your zip code to view where you can look at this book. It is even available for purchase at Barnes & Nobles and Better World Books. I will post about WorldCat as a separate post but the link is below for now.
Best of luck in your search!
Mobile Devices (Smartphone & Tablets): To see other blog posts for your island or country, at the top of the page, click on the "Most Recent Post", a popup menu will appear, select an option. It will take you to the page containing posts for your island or country.