Hannah's Story: 1 Samuel 1:1-2:11
Hannah is a small person with a large problem and no power. Just the sort of life God loves to work in! God does answer prayer, even of lowly people, and in spectacular ways.
Also note: Hannah's prayer isn't answered in her self-fulfillment, but in the fulfillment of God's Promises in a Holy King. She's not after her own desires, but His; her prayer is a version of the LORD's Prayer.