Hello ianharkins1 , I would suggest to buy a new battery from apple or a repeatable source.If it was the chip I would suspect you would have larger problems than a battery issue. I know from experience with my iPhone 5 how repairing my shattered screen with a new one drained my battery much quicker, whereas the person who has it now the battery last all day. My point, the batteries you received may be "refurbished" which usually mean their best days are behind them. Upgrade to a new fresh battery and you should be in good shape.
Please let us know how everything goes!