Ujm- in emergency situations, asking a Rav could potentially waste time and make the sakana even worse. Anyways, most competent Rabbonim would advise the shoel to ask an expert to determine if this is a pikuach nefesh situation and to rely on their advice. Which is exactly what this mother did by reaching out to shomrim first. Does she have to apologize to the innocent man who was accused? Of course. But does that mean she should act differently in the future, I don’t think so. Unless she was dishonest in what she told shomrim or the police, I don’t see that she did anything wrong.
Now, whether shomrim jumped the gun in advising her to call the police is a different question. Clearly in hindsight they were mistaken. But I don’t know the facts on the ground as they do… How don’t percentages or statistics or how a delay in arresting an attempted kidnapper could make it that much more difficult to find him and whether that delay could put more people at risk. Without the benefit of that expert knowledge, I can’t pass judgement on whether they should have acted differently. But, clearly in this specific situation, they were indeed mistaken, and like the mother, should apologize to the wrongly accused.