Meanings of emanate directly in English

Now and again, he caught a whiff of a peculiar smell that seemed to emanate directly from her person.

The walls of the fortress nunnery were solid stone, but the true coldness in the weaving chamber seemed to emanate directly from his grandmother.

What a power is here exhibited, and yet all emanating directly from the people, without coercion of any kind, beyond respect for their own-made laws!