OK. Thanks for doing the d/l, etc. I have Mavericks and Mt. Lion on my external drive. I have Mavericks on my internal drive. I can't remember if I partitioned my internal HD to include Mt. Lion but I think so, I just never use it. The miscellaneous partition is empty. I probably just named it that until I put something in it. It's been awhile.
OK, I'll assume that you still want Mavericks on your internal HDD.
If you partitioned your internal to include Mt. Lion the partition would appear in SuperDuper!'s GUI, and since it doesn't, you probably didn't.
I'll work on this later.