You Do Need power plug adapter while traveling from Tuvalu to Lesotho.

Here is Why You Need An Adapter

The outlet and plug type used in Lesotho is M and in Tuvalu is I. This is how they look like.

Tuvalu

In Tuvalu, outlets of type I are in use.

Type I

Lesotho

In Lesotho, outlets of type M are in use.

Type M