No battery - 1% remaining
I think Itzik Samara's answer is all you need. But I thought I'd add some information for people without CWM or with a version that can't delete the Battery Stats for some reason (as you had this concern initially yourself). 

This can also be done less elegantly via adb

Firstly ensure your device is FULLY CHARGED. Do not do the below without charging fully! 


Reboot your phone into recovery. 
Mount /system and /data in the partitions menu. 
Open up a cmd prompt:

adb pull /data/system/batterystats.bin batterystats.bin

This command save the batterystats.bin in the same directory as your adb.
Run:

adb shell
And finally:


rm /data/system/batterystats.bin

This removes the entire battery stats file from the device. It will be rebuilt on reboot.