10. A method of delivering a voice mail notification to a subscriber of a voice mail system to indicate that a voice mail message is waiting in a subscriber mailbox, comprising the steps of receiving within a cellular phone network a plurality of voice mail notifications from a voice mail system that indicates different voice mail messages are waiting for respective subscribers, and forwarding, without subscriber intervention, the voice mail notifications through the cellular phone network to a private base station used by the subscribers to indicate that voice mail message are waiting in respective subscriber mailboxes, and including the step of incorporating within each voice mail notification forwarded to the private base station for respective subscribers a calling number of the calling party that left the voice mail message, a name of the calling party, if known, and the index of the voice mail messages waiting in the subscriber mailbox.
10. A method of delivering a voice mail notification to a subscriber of a voice mail system to indicate that a voice mail message is waiting in a subscriber mailbox, comprising the steps of receiving within a cellular phone network a plurality of voice mail notifications from a voice mail system that indicates different voice mail messages are waiting for respective subscribers, and forwarding, without subscriber intervention, the voice mail notifications through the cellular phone network to a private base station used by the subscribers to indicate that voice mail message are waiting in respective subscriber mailboxes, and including the step of incorporating within each voice mail notification forwarded to the private base station for respective subscribers a calling number of the calling party that left the voice mail message, a name of the calling party, if known, and the index of the voice mail messages waiting in the subscriber mailbox. 12. A method according to claim 10 including the step of displaying on a display contained in the private base station a selected voice mail notification of a subscriber.