In 1901, after the death of his father, Henry Drew was appointed honorary curator of the museum. Following the appointment of a paid curator, George Marriner in 1908, Henry was elected as a trustee and served from 1908 to 1912. In 1916 he was again appointed honorary curator, a position he held for three years.
In a 1916 letter to Amy Castle, an entomologist at the Dominion Museum (now Te Papa), he commented, "I have just been appointed curator of Wang. Public Museum, and therefore my private collection must be reluctantly placed on one side. My duties at the museum will take up all my spare time."
Henry has been described as the best taxidermist produced by New Zealand. He mounted exhibits for many different museums around the country. He was especially noted for his ability to mount bird specimens in a natural way. A case of native birds, titled Morepork under Siege, was mounted by him while honorary curator and was on display at the museum for many years. It depicts a sleepy ruru, or morepork (Ninox novaeseelandiae), being besieged during the day by small birds that include riroriro (grey warbler), tauhou (silvereye), miromiro (North Island tomtit) and piwaiwaka (fantail). Still in the museum collection, the diorama demonstrates the sort of natural poses he was attempting to perfect.
In 1924 he produced a collection of 350 birds for display at the Wembley Exhibition in England.
This included 11 blue penguins which were kept at his home for a few weeks by his two children before being killed and mounted for display. He also mounted a large brown bear that came to Whanganui in a travelling circus.
Henry Drew retired from the family jewellery business in 1949, leaving his son Frank in charge.
Libby Sharpe is the senior curator at Whanganui Regional Museum