One tropical plant fills gallery designed by Nash? (10)

I believe the answer is:

italianate

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'designed by nash?' is the definition.
The answer and definition are different parts of speech. However, past participle verbs and adjectives can sometimes mean the same thing.

'one tropical plant fills gallery' is the wordplay.
'one' becomes 'i' (Roman numeral).
'tropical plant' becomes 'liana' (I've seen this in another clue).
'fills' means one lot of letters goes inside another.
'gallery' becomes 'tate' (Tate Modern, Tate Britain etc).
'liana' inserted into 'tate' is 'talianate'.
'i'+'talianate'='ITALIANATE'

Can you help me to learn more?

(Other definitions for italianate that I've seen before include "Continental style" , "In a style like that of a south European country" , "such as pizza or spaghetti?" , "Venetian style?" , "In a particular southern European style" .)

I've seen this clue in The Independent.

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