Unfortunately, this is not possible; 10.4 was the first release of OSX that supported Intel, and 10.5 was the last to support PowerPC. Alas, you can't have a machine that was on 10.1 that can also run 10.8..
That said, you can definitely chain update your way from 10.4 to 10.8 without issue, and similarly from 10.1 to 10.5. The latter case is a little tricky as many of the machines that ran 10.1 were not deemed fit for 10.5 (e.g. the G4 Cube variants), but there are workarounds.