James,
If you are in contact with the current owners, you might know where it is moored.
Your wording hints that the Hindmarsh Island owners have sold up.
One prospect is Wellington Marina, which is hidden from the river.
Mayflower was kept there. The marina went dry, and ceased trading, and even had the phone cut at one stage. It must be thriving again.
There are two marinas below Murray Bridge where small paddleboats have been kept, hidden from the river. IIRC both have inlet moorings and river mooring, but the river portion is the side of Long Island where through powerboating isn't allowed. They are Riverglen and Long Island marinas.
My edition of Parsons is 1996. Killawarra could be more recent (but not much more), or could have been an oversight.
Roderick B Smith
Rail News Victoria Editor