https://www.youtube.com/watch?v=HAGjxqjoCko this is long but this will help you to get a good sense of songs like peas and rice.

Miss lucy hang herself in da mango tree at about 16:20, and the Blue Hill water dry part was also native to the Bahamas and was originally from Tony Mckay but from the native songs, also I went up on the hill.

Now I am much to young to tell you when these songs first appeared but I grew up playing them in schools, my mom remember them from her school days and I am pretty sure my granny remembers them also.