Problem: Sentence1: Insiders said the company's stock was in play.
Sentence2: The play of light on the water.
Q: Does the term play mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: Skill is the product of hours of practice.
Sentence2: His reaction was the product of hunger and fatigue.
Q: Does the term product mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: Dew dripped from the face of the leaf.
Sentence2: Why the sad face?
Q: Does the term face mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: The Democratic Party is an umbrella for many liberal groups.
Sentence2: Under the umbrella of capitalism.
Q: Does the term umbrella mean the same thing in both these sentences?

Answer:
the same meaning