Panasonic KX-TCD320E Digital Cordless Phone Answering System with 2 Handsets-as per pic.
Answerphone + 1 Handset in good working order.
Operating Instructions Manual provided.
Uses AAA re-chargeable batteries only in handset.
2nd Handset is probably not working, although its separate charging base unit does work. Sometimes charges to 1/3 only.
I have seen spare handsets for sale on E-bay and Google; Ref: KXTCA-132E S about £3.