http://newyorkstatemissingpersons.n...ne-williams-brooklyn-new-york-january-20-2013
It looks like this is the way they describe missing people who live within the precinct districts. It is confusing but there are several others that say the same type thing but then describe an intersection or some other place where the missing person was last seen.
Yup. "Within the confines of the precinct" does not equate to "within the confines of the police station". They are talking about the whole district covered by those Police.