Question: "speech" used in the same way in the following two sentences?

Her speech was barren of southernisms.

I detected a slight accent in his speech.
Answer: the same meaning
Question: "piece" used in the same way in the following two sentences?

I need to rest for a piece.

He needed a piece of granite.
Answer: different meanings
Question: "vote" used in the same way in the following two sentences?

They are expecting a large vote.

The Supreme Court upheld the principle of one person, one vote.
Answer: different meanings
Question: "presence" used in the same way in the following two sentences?

I'm convinced that there was a presence in that building that I can't explain, which led to my heroic actions.

Any painter can benefit from the presence of a live model from which to draw.
Answer:
different meanings