You Do Need power plug adapter while traveling from Samoa 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 Samoa is I. This is how they look like.

Samoa

In Samoa, outlets of type I are in use.

Type I

São Tomé and Príncipe

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

Type C

Type F