You Do Need power plug adapter while traveling from Swaziland to Saint Martin.

Here is Why You Need An Adapter

The outlet and plug type used in Saint Martin are C and E and in Swaziland is M. This is how they look like.

Swaziland

In Swaziland, outlets of type M are in use.

Type M

Saint Martin

In Saint Martin, outlets of type C and E are in use.

Type C

Type E