Crossword Genius

Club and hotel in old Roman town (4)

Ross

I believe the answer is:

bath

I'm a little stuck... Click here to teach me more about this clue!

'old roman town' is the definition.
Although both the answer and definition are singular nouns, I don't understand how one could define the other.

'club and hotel' is the wordplay.
'club' becomes 'bat' (as in sporting equipment).
'and' means one lot of letters go next to another.
'hotel' becomes 'h' (phonetic alphabet).
'bat'+'h'='BATH'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for bath that I've seen before include "Sit in it to wash" , "Tub for washing" , "place of Chaucer's wife" , "Large tub" , "It may be run" .)

I've seen this clue in The Guardian.
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