Note I researched to find that the eSATA drive should be supported. I found an ISO image of the SRD at the "Download Now" button in the middle of the page at https://www-secure.symantec.com/norton-support/jsp/help-solutions.jsp?docid=20091016094409EN&lg=english&ct=united+states&product=home&version=1&pvid=f-home&entsrc=redirect_pubweb .
I burned the CD and booted from it. While the program was SEARCHING for recovery points, I got the dreaded exception unknown exception error.
Per http://community.norton.com/t5/Other-Norton-Products/unknown-exception-running-Ghost-15-SRD/m-p/183370/highlight/true#M17304 I researched then disabled the Disable Execution Bit in my bios. No help.
Per http://community.norton.com/t5/Other-Norton-Products/Ghost-15-0-SRD-will-not-work-with-my-SATA-6-0-Gb-s-WD/td-p/584958/highlight/true I noticed that I appear to have a Marvell driver for the SATA (eSATA) on my brand new ASUS motherboard.
Somewhere I read a post suggesting that the Disable Execution Bit might cause the program to run out of memory for some reason. Thinking of memory, and thinking of Marvell (non-windows) driver, I tried something that WORKED...
I have SIX internal SATA drives plus ONE external eSATA drive, including a dozen or more partitions. "Search?" I said to myself. "Out of memory?" I said to myself. I unplugged four of the internal drives, leaving only the OS disk and, just in case, another disk with the System Reserved partition on it. (I may have the wrong name for that partition; I'm drawing from memory right now. Also, the fact that it's on a different disk from the OS (boot?) disk is likely because someone else built the computer, not me.)
Having removed all those other disks and their associated partitions, I booted the Ghost 15 SRD again. The search didn't fail. I'm currently 30% through restoring my computer. Hopefully it will finish with success.
PLEASE HELP ME: I would like to post to the end of each of the above referenced threads, so that anyone else searching for help might come to my post here, where they may learn that removing disks helps them. Or where they may learn that this exception could generally be an out-of-memory problem. However, I don't see a "reply" button on those posts. Perhaps I don't have enough permission. If you do, can you please post to the end of those, referring to this one or otherwise adding the suggestion? Thanks very much.