The court heard that the 16-year-old girl committed this offence while she was three months into a referral order for committing a similar offence before.
The chairman of the bench, Mr Bernard Peters said what she had done was "a disgrace". He said the police are there to protect the public and she had disrupted that.
He said that was an aggravating feature of the offence which put it in the zone where she could receive a custodial sentence.
However, he imposed a three month curfew on her and a five year restraining order forbidding her from having any contact with the woman who was the victim of the hoax calls.
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Early mist and fog clearing to make way for a fine and sunny day
Another fine and dry day, once any early fog patches clear, with largely sunny skies.
Protesters gathered outside the Library of Birmingham following the announcement the £189 million building will now be closed on Sundays