If your landline doesn’t have a way to save messages already built in, the best way to save that gorgeous message is with a recorder. But before you rush out to get it, don’t forget that most smartphones have a built in recorder. Try that first and see if it will pick up her voice loud and strong. It should save the message as an MP3 automatically, that you can send (via email or text) directly to your computer for safe keeping. If the quality is not great, then you can borrow a recorder or purchase one. We like the Olympus brand ourselves, because they save in MP3 and can upload to a computer wirelessly. We have the vtech phone/answering system indicated above. The outgoing message/greeting is of my young daughter’s voice and we would like to save it somehow. Am wondering if you have a process or can suggest how an outgoing/greeting message can be downloaded for safekeeping.
Let’s imagine you call a property agent, you don’t expect you get a Voicemail message. You expect them to answer the phone. In this case the Voicemail starts to play.

How do you check your VoiceMail? To check your voicemail messages from another phone: Call your 10-digit wireless number. When you hear your voicemail greeting, press the * key to interrupt it. If you reach the main voicemail system greeting, enter your 10-digit wireless phone number, then interrupt your greeting by pressing the * key.
Different phone systems allow users to see different amounts of information ranging from a number, to name and number, to nothing at all. So, this “missed call” method of requesting a call back could end up costing you the very thing you are seeking.