My short experience with 2w is that they are about 1-2 days late in posting their moves.
In essence, your VIN should appear 1-2 days after your car was rolled-on. Yes, those ships are "Ro-Ro", or roll-on roll-off, where the cars are actually driven on board...
Once you've got your VIN on 2w, it'll show ETAs for the whole "voyage" line-by-line, the appropriate line turning red about 1-2 days after the ship has left that stop.
Wow... patience, it's almost here!