There were Ukrainians on Board this ferry heading to Hawthorn Tea
Gardens for a picnic.  The Ferry sank, I believe one man drowned.  I
was on this ferry, but do not know the specific name of the ferry nor
the year, but think it was those years mentioned in the subject field.
 There was a photo in a newspaper, probably in the 'Sun' of two little
girls sitting on the banks of the Yarra after being pulled out of the
water.  I was one of them.  Can anybody help me with this search
PLEASE.

http://oceans1.customer.netspace.net.au/portphillip-wrecks.html

This site gives basic information on a number of shipwrecks. A found
two that were on the Yarra River.

"Merlin. Ship.
On 19 July 1952, iInvolved in collision with vessel Luntana, Yarra
River, Melbourne. [LV],[WPP]

Lutana. (Lutane). Steamship. [LV] 
On 19 July 1952, involved in a collision with vessel Merlin, Yarra
River, Melbourne. [WPP]"

and

"Luntana. (Lutona). Steamer. 
In 1952, involved in collision with vessel Merlin, Yarra River, Melbourne. [LV] 
On 22 September 1953, involved in collision with steamer Binburra,
Yarra River, Melbourne. [WPP]
Loney lists: 
Lutona. Involved in collision with  Binburr,  Yarra River, Melbourne, 1953. [LV]

Binburr. (Binburra). Steamship. Involved in collision with steamer
Lutona (Lutana), Yarra River, Melbourne, 22 Septeember 1953.
[LV],[WPP]"

Hopefully this information will help.

I found 3 more on the same website:

"Carron Park. Steamship. Involved in collision with steamer Ormiston,
Yarra River, Melbourne, 5 September 1951. [LV],[WPP]"

"Langleegale. Involved in collision with  Merrilyn, Yarra River,
Melbourne, 1951. [LV] For loss of Merrilyn, see Furneaux Group."
"Merrilyn. Involved in collision with  Langleegale, Yarra River,
Melbourne, 1951. [LV]"

"Karoon. Twin screw motor vessel. Built State Dockyards, Newcastle,
NSW, 1951; reg. Hobart. Lbd 290 x 43 x 19.6 ft. Regular trader between
Tasmania and Melbourne.
On 22 October 1953, involved in collision with vessel Wyuna, Yarra
River, Melbourne. [LV]"
"Wyuna. Pilot cutter. 
In 1972, collided with MV Bass Trader  in foggy conditions off Port
Phillip Heads. No one was injured and both vessels suffered only minor
damage. [LO]
On 22 October 1953, a vessel of this name was involved in a collision
with the motor vessel Karoon, Yarra River, Melbourne. [LV],[WPP]"