Final answer:
Handel's most famous work for hautbois and band is 'Music for the Royal Fireworks', written to celebrate the end of a war and a peace treaty. It showcases Handel's skill in writing for wind instruments, with the hautbois playing a prominent role.
Step-by-step explanation:
Handel's most famous work for hautbois (oboe) and band is the Music for the Royal Fireworks (HWV 351). This work was composed in 1749 to celebrate the end of the War of the Austrian Succession and the signing of the Treaty of Aix-la-Chapelle. The suite is made up of five movements and includes a notable role for the oboes, showcasing Handel's mastery in writing for wind instruments. Though he also composed Water Music and the oratorio Messiah, which are exceptionally famous, Music for the Royal Fireworks stands out because of its specific composition for a grand wind band, including a prominent part for the hautbois.