Hello & Welcome to Just Answer,
Sorry to hear of the issue you are having with your phones.
May I ask:
1) the MODEL NUMBER of the system (usually printed on the bottom of the MAIN BASE UNIT of the system?
2) the AGE of the system?
3) WHEN this issue was first noticed?
4) Has the battery in the handset EVER been replaced (since new), and if so, WHEN was the last time it was replaced?
P.S. As a CAUTION - please removed the handset that is hot from the charging base for now - and allow it to cool off.
Hi again and thanks for that information.
OK - if the battery has NEVER been replaced, that is the FIRST thing I would try.
NOTE: Batteries getting HOT like that are one of the signs that the batteries are going bad. Also, I usually recommend that batteries be replaced about every 2-3 years - even if they don't appear to be bad. About the only exception would be for a handset that almost never gets used, and sits on a charger all day long.
Let me see if I can find the part number and type for the battery for you.
It looks like the batteries used in the handset are what have become a pretty "standard" type battery - which is a Nickle-Metal Hydride in the form of the "AA" size.
You should be able to find these at almost any store that sell cordless phones, including electronics & office supply stores. Just make sure you get the same type and capacity and then allow them to charge up for at least 2 hours when trying to use the handset.
As a reference, I found a listing on Amazon for replacement batteries - so you will know what to look for.
AT&T E5865 Replacement batterieshttp://amzn.to/1NDxmOd
Please let me know what you find or if you have any more questions.
Thanks, ***** *****
You are quite welcome.
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I see it has been a few days and I just wanted to follow up to see if you have any more questions concerning this issue or if the issue was resolved.
I look forward to any further questions or results that you may have.