The horse-drawn cabs in Kingston in the 19th and early 20th centuries were known as omnibuses, abbreviated to 'buses/'busses and looked like those illustrated below.

I cannot find the source or date of this illustration, but it seems likely to have been drawn around 1900. 

Some examples of Kingston 'buses.

I cannot find the source of this illustration, but it seems very much like a Kingston 'bus, though it is from Malta.

If you would like to know more about the 'bus(s)es click on the link below to see a page about them I did some time back -

I found these illustrations just yesterday in Harper's New Magazine, the Jamaica Journal, and the Gleaner. I had never seen illustrations of this 19th century Jamaican equipment before, and thought others might be interested to see them too!

in an article on Jamaica in Harper's New Magazine in Jan/Feb 1890

from the Jamaica Journal and in the Folk Museum in Spanish Town

transporting sugar and rum (from 'New Jamaica', 1890).

some views of the railway around 1890 - from the book 'New Jamaica' which has good illustrations; just rediscovered it!