Anyone recommend Macbook 1,1 battery replacement in UK

I am on my second MacBook battery, the first was replaced in apple battery recall. Now this one is showing battery not charging intermittently.

I am on cycle count 80 and it is reporting normal health

I am in the UK can anyone recommend a reputable site which sells replacement batteries, so I don't have to pay Apple prices £100+

Very interesting reading. I very rarely use the battery alone, so this might be the issue. I'll try to unplug and take battery to 50% and plug in again a few times , and see how it goes

Thanks for the info

Update: Battery now OK

The battery is now working normally. This is what I have done to achieve this

1. I took the charge down to 50% a number of times before recharging
2. I took the charge down to 0% as well. However the MacBook would switch off before reaching 0%, initially at about 18%. When this happened I would wait for an hour or two and turn the MacBook on again. It would start then again switch off after a while. I repeated this until it reached 0% and went into sleep mode.

BY repeating these steps, I no loner get the 'Not Charging" message, and I can take the charge down to 0% without it switching off early.

I think this proves using the power adaptor all the time, does the battery no favours.

I hope this helps other MacBook onwers