Make small framed walls to sit on the top plate. Leave the roof solid but remove it's connection to the top plate, jack it up, insert and secure new small walls (i think they call them jack walls reinstall the roof.
It maybe better/easier to jack the whole building and install the small jack walls at the bottom as well. Im not an expert but thats the general way to do it, remove top add small wall or pick up everything and put the wall on the bottom. Im sure there will be opinions both ways.
As far as jacking, cheap bottle jacks or basement jacks will work fine for this little building. Obviously there is some inherent danger involved when moving something big enough to cause injury or death so be careful and pay attention.
Good luck
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