Nope... it goes like this...
Mother takes the daughter accross, and leaves her there.
She comes back in the boat, and then the father takes her accross, and leaves her with the daughter.
He comes back and gets out of the boat.
The trainer and the tiger go to the other side, and both get out.
The mother gets into the boat, leaving the daughter, tiger and trainer on the other side.
She goes back, then gets out, and the father gets in with the son.
He takes the son to the other side, leaves him there, then goes back for the mother.
The mother and father come back accross together, and everyone's made it.