Q: Does "cover" have the same meaning in the following two sentences?

Cover her face with a handkerchief.

This should cover everyone in the group.

A: different meanings

Q: Does "mouth" have the same meaning in the following two sentences?

The jar had a wide mouth.

They built a fire at the mouth of the cave.

A: different meanings

Q: Does "place" have the same meaning in the following two sentences?

He comes from a place near Chicago.

He lost his place on the page.

A:
different meanings