Does Groot's special regeneration power work when he is on an object. This came up where I play today, and I thought no, probably not. I was playing him and did not try it, but I would like to know if it would work. Please, any input would be appreciated.

It would work.

make that object "Eleha'al Vine" and people will hate you lol

Page 17, if you want to see it in the rules.
"OBJECTS AS TERRAIN
A square containing an object not carried by a character is hindering terrain."

pretty much what I thought too...

Thanks for the input, Brad.