It sounds as if she was in season last night. They try their best to get out the cage to find a mate and are often more active on their 'in heat' day. When you stroke their back they stand quite still, looking glazed with their tail up in the air. Did she do that?
It's quite normal and she may do it every 4 days or so.
They can get a little warm in this weather but it isn't too hot so I wouldn't try and adjust the room temp too much. The sleeping in the open is usually a sign they feel warm. Heat is more dangerous to hamsters than cold actually so don't over warm her. Temperatures between 12- 23C are quite acceptable for hams as long as they are not in bright sunlight or a draught. To cool put a plate in the fridge and then lay in in her cage so she can choose to lie on it or not. She will know if she is too warm