Question: Churchill Quotations

I recently saw an author on C-SPAN talking about Winston Churchill. I am going to paraphrase as best I can from memory what he said in an anecdote about Churchill having been asked once if he was concerned or fearful about the British or English communist party.

He said Churchill replied something along these lines: "No, of course not. Why should I be? They are Englishmen, after all!" Can you verify that Churchill said this?

This quote is quite popular from people on the right but The Churchill Centre says it's falsely attibuted to Churchill... Is that correct in your opinion?

"If you're not a liberal when you're 25, you have no heart. If you're not a conservative by the time you're 35, you have no brain."