You Do Need power plug adapter while traveling from Jamaica to São Tomé and Príncipe.

Here is Why You Need An Adapter

The outlet and plug type used in São Tomé and Príncipe are C and F and in Jamaica are A and B. This is how they look like.

Jamaica

In Jamaica, outlets of type A and B are in use.

Type A

Type B

São Tomé and Príncipe

In São Tomé and Príncipe, outlets of type C and F are in use.

Type C

Type F