Telco billing records are very detailed. They can identify the call from the time it reached you and know who initiated it (their customer or some specific other telco). The fact you see the originating number is irrelevant to the telco and shouldn't matter for any applicable law.
To sue someone, the court would still need to ask the telco about the owner of the number. Right now they would need to ask for the initiator of a call to XYZ at 12:34. Seeing the number doesn't change anything.