Carried drink to little Edward (5)
I believe the answer is:
toted
'carried' is the definition.
(toting is a kind of carrying)
'drink to little edward' is the wordplay.
'drink' becomes 'tot' (a small alcoholic drink).
'to little' means to remove the last letter (the word is not quite complete).
'edward' becomes 'ted' ().
'tot' with its last letter removed is 'to'.
'to'+'ted'='TOTED'
(Other definitions for toted that I've seen before include "Carried (a gun?)" , "Carried (something heavy)" , "Carried - conveyed" , "Lugged" , "Bore" .)