So if I understand... from comer's comments
1.
Tivo partitions are not of any recognized (by anything but specific Tivo tools) type.
So the type does not use any known for std Linux partition type, which explains why the Linux partition tools don't see valid data. They do report that the information is unknown type or corrupt, some offer to attempt to fix, I of course did not do this.
2.
So regular generic tools won't work for anything including resize, but direct copy block-by-block.
So this explains why dd and dd_rescure made a valid copy of my original virgin TiVo drive. Thats great so I can play, but I'm still as lost as I can be since what Spike said went right in one ear and out the other, got a long way to go on some of that info.
3.
Data structures on those partitions that reference each other by their position on the disk.
Nasty old TiVo, hard coding and wiring from point to point on the disk, "static" vs. dynamic? So even if I could make a partition tool look for a new partition type, treat it just like something it knows, I still could not shuffle things where I wanted to on a new disk?
4.
Right now there is a method to expand the space known as "partition coalescing" - described somewhere on the first page of this thread.
Guess I will start there and go off and read all I can about this topic, eventually I hope some of it sinks in or at least sticks for awhile on the trip between my ears. My goal is a larger internal drive not a two drive system with an external box. But further reading on the info about the Premiere suggests that unlike older TiVos there is enough smarts in the box that it can un-marry an external drive if it's lost, damaged, etc. Sounds like you loose everything and go back to NO SHOWS, start over etc. Not the smarts that we would want to see to access space on an internal drive with the extra partitions. But at least no re-imaging of the main drive is required.
So what we need is something beyond dd and dd_rescure, a kinda forensic editor/tool that can also follow all the places that TiVo is sending us on its disk hunt and can translate or re-map positions for a new drive, would be drive dependent for each brand and model of HDD based on it layout, geometry and size. Or am I just really lost... Trying... Ouch, not much space left up here...