I know the pros of being married by a church are manly for moral reasons. Why would you NOT want to be married by a church?

Why would you NOT want to be married by a church? - Being an atheist is quite high on that list.

Moral reasons? What do you mean?

You don't get married in a Church because you don't believe in God (or something similar), you are of different religions, "your Church" is unwilling to marry you and/or recognize your marriage, you prefer a civil ceremony, any variety of reasons, you want to be married quietly.

Why do you ask?