Paul Holland sent me the following comment on the origins of the 1862 over 1 penny:
I don't think it occurred from ablundered repair attempt. If I had to guess, I would say that itarose near the end of 1861 or the beginning of 1862 when final datenumerals were being punched into working dies. A Mint worker mayhave placed a numeral 1 punch into position and started to 'set it'with his hammer, then realized that with the date changeover, anumeral 2 punch was called for instead, then completed dating thedie as 1862. To me this makes more sense that the other way round...although we may never know for sure.
This would also help to explain the origins of the 1862 2 over 2 that have been spotted, with a mint worker trying to correct a slightly misplaced 2 when entering a 2 on a working die. But, as Paul says, we may never know.........