Possible Clues:

• Thought about a 12 across with Edward
• Worked out number erased by mistake
• Thought to be a child in a rush
• Embarrassed about a misshapen nose, it's thought
• Well thought out
• Thought logically through or deduced
• Concluded, since one had been put in the shade
• Thought to have worked it out about a boy, Edward
• A red nose requires treatment, it's argued
• Concluded, when one went into the shade