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

I beg your pardon. I didn't mean to cause offence.

I begged her for release.

A: the same meaning

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

The swiftest of foot.

He followed on foot.

A: the same meaning

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

She was the picture of despair.

The very picture of a modern general.

A:
the same meaning