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Hi Valerie and welcome to JustAnswer,Thank you for the question and your patience. Should you still need assistance for information purposes only...Initially, bear with us; re-confirm and post back with the complete model number of the "...Panasonic cordless phone..." Additionally, who is your phone service provider please?
Appreciate the additional information Valerie.
The KX-TGA931T would be the handset. The base unit please? ...normally at the bottom or on a name plate/sticker
A review; the Panasonic's Caller ID feature can be turned on using MENU / 1 6 2 handset or * 1 6 2 base /  .
If not working as expected, have you confirmed subscription to this feature/option with Verizon?
Sorry, the "/" was meant to be a step separator
Can you please try on the handset MENU 1 6 2 1
And/or on the base unit, MENU * 1 6 2 1
...and then SAVE then OFF
Great Valerie! Good to hear that the issue has been resolved with the MENU * 1 6 2 1, congratulations.
Glad that the above information served your purpose and would appreciate a Positive Rating and/or an Accept if so warranted (if haven't done so).
Good luck and thank you too for the opportunity to be able to share the information.