Wandered around European city holding a daughter (6)
I believe the answer is:
roamed
'wandered around' is the definition.
(I've seen this in another clue)
'european city holding a daughter' is the wordplay.
'european city' becomes 'rome' (capital of Italy).
'holding' means one lot of letters goes inside another.
'daughter' becomes 'd' (genealogical abbreviation).
'rome' placed around 'a' is 'roame'.
'roame'+'d'='ROAMED'
(Other definitions for roamed that I've seen before include "Wandered about aimlessly" , "Rambled around" , "Wandered about without any destination" , "Travelled aimlessly" , "Walked aimlessly" .)