The Night of the Iguana and Show Boat actress (3,7)

I believe the answer is:

ava gardner

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'the night of the iguana and' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'boat actress' is the wordplay.
'boat' becomes 'ava' (I am not sure about this - if you are sure you should believe this answer much more).
'actress' becomes 'gardner' (I've seen this before).
'ava'+'gardner'='AVA GARDNER'

'show' is the link.

Can you help me to learn more?

I've seen this clue in The Times.

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