Since I was doing the research...I investigated "Annie Warbucks" also. The Off-Broadway production did not use a full orchestra, but for the Cast Album and for the MTI rentals the orchestrations were enhanced.
Violin 1,2,3 and 4
Trumpet 1 ,2, and 3
Trombone 1 (doubles on Tuba) and 2
Reed 1: flute, alto sax, clarinet
Reed 2: flute, bass clarinet, clarinet, tenor sax, baritone sax
Reed 3: clarinet, oboe, English horn, tenor sax
...so, when you next see a production of Annie, stay in the audience until the end of the exit music, and then give a round of applause for the orchestra!