not correct

Overcome by emotions, tears streamed down her cheeks.

This is a sentence I made in the previous post. You know what it means but is it correct English?

When I looked at it again, it doesn't sound quite right.

From the Grammar lessons I learned in school, I remember 'overcome by emotions' is an adjective phrase which is meant to describe the noun/pronoun next to it. In the above sentence, the noun is tears. Obviously the adjective phrase doesn't describe tears.

I think this is more correct - Overcome by emotions, she couldn't control her tears.
In this sentence 'overcome by emotions' describes 'she'.

Please correct me if I am wrong.