As the previous person with the problem, there is no place in BIOS to access/clear any error logs. This is a Dell Inspiron 531, with BIOS version 1.0.13, running VISTA Home Premium, 32-bit.
However, I may have stumbled onto the solution: After booting the machine through the F1 key following battery error notification, I forced a resync with internet time and I no longer get the battery error; even though I had manually set the correct time in BIOS.