Born on the Algarve, finally (3)
I believe the answer is:
nee
'born' is the definition.
(I've seen this before)
'on the algarve finally' is the wordplay.
'finally' indicates one should take the final letters.
The last letters of 'on the algarve' are 'NEE'.
(Other definitions for nee that I've seen before include "called before wedding?" , "Prefix indicating maiden name of married woman" , "Adjective meaning born, followed by maiden name" , "Born (female)" , "Born (Fem)" .)