Can you transfer the incoming Caller Name with link to cell to a home phone?

With link to cell when transferring calls from a new iPhone (SE) to a Bluetooth enabled home phone, is it possible to display the Caller Name (name and phone number) of the incoming call on the home phone rather than the display just reading "Incoming Call"?

 

I hae a AT&T system for my land line. I think it only uses 6v and I wanted to build a little box with some batteries in it to power it when the power goes out but my girl isn't hearing it.

 

Thanks. Before I got this one, the previous one (Panasonic, I think) had a built in battery pack just for the case of a power loss. I think it was only 6V. I'd have to look at the manual for the one I have now. Not sure how I posted in this thread. I thought I was posting in his other thread. If they took the RJ4 hook-up away, I'd need a wireless internet device similar to what the OP needs.