Here is a HG with the muffler on the same side as your motor Wilbur.
https://www.outdoorking-forum.com.au/forum/ubbthreads.php?ubb=showflat&Number=68985&page=all

Victa changed the muffler side in the early sixties , I think they copied Pope and thought it was a good idea but
Pope changed back to the conventional side and Victa followed.

Yes you can turn the barrel 180 degrees but you must rotate the piston as well otherwise the ring gap ends up
in a port.

The short answer is the major thrust side of the piston shouldn't be on the exhaust side of the barrel as this
will generate more heat causing scuffing , seizing or greater wear under certain conditions.

The Sheerline is an example of the wrong side to fit the muffler.

The fuel cap side depends on carby side as the tank is bolted on either way too.

The CA prefix ,I've seen on edgers , but a lot of the Tiger motors have been swapped for other tiger
motors and aren't original and I don't have a list for every prefix for every application of the Tiger
motor.

The 47720 396 looks to be a 1972 model ,the 47 should give you a code for what model it was from ,not
sure if I've recorded that number ,I can check later.

Will do Cheers ,Weekends half over enjoy what's left Wilbur