I've not seen that mod on an A3000 before and I've looked a fair number of A3000s. Going by it's length, it does look to have been attached to the pad next to the LK6 label on the MB, or maybe even to a pin of IC6.
The service manual is here if that helps:
http://chrisacorns.computinghistory.org ... 3000SM.pdf
Only other things I can suggest is to clean up all the contacts around LK6 and IC6 and using a magnifier, see if there is any uneven solder on a part. That would indicate where it used to be soldered to.
When switching on RISC OS without a battery present, you will need to hold down the Delete or R keys to reset the CMOS. Hold them down until you see something on the screen. If it's working, it will get rid of the Supervisor prompt and you should get the desktop come up.
Also, ask on http://www.stardot.org.uk/forums/
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