Mae West adaptation about tenor produced by Mulligan, the one known to American consumers? (4,4)

'by mulligan the one known to american consumers?' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'mae west adaptation about tenor' is the wordplay.
I cannot really understand how this works, but
an anagram of 'mae' is 'mea' which is within the answer.
an anagram of 'west' is 'stew' which is located in the answer.
'tenor' could be 't' and 't' is found in the answer.
This accounts for all the letters.
This may be the basis of clue (or it may be nonsense).

'produced' acts as a link.

Can you help me to learn more?