Namesake vs Homonymous - What's the difference?

As a noun namesake

is one who is named after another or for whom another is named.

is to name (somebody) after somebody else.

having the same name as another.

(wikipedia namesake)

(en noun)

One who is named after another or for whom another is named.

A person with the same name as another.

A ship or a building that is named after someone or something

* eponym

(en-verb)

To name (somebody) after somebody else.

(-)

having the same name as another

of or pertaining to a homonym