Davison came from a family originating in northern England. His father married into a family of modest means and was forced to enlist for service in India. His father worked in the Public Works Department in Burma and became an executive engineer. William and his sister were born in Burma. After the death of his father, his mother moved to settle in Ootacamund in southern India. Here William went to the grammar school run by Rev.
G. U. Pope. At the age of sixteen he apprenticed as a chemist at the Cinchona plantation. He them went to Calcutta to work under
George King. King noticed his skills for animal observation and recommended him to A. O. Hume. Hume trained Davison for a year and then sent him to various parts of India for periods of six to seven months to collect specimens mostly of birds but also plants. He and Hume were in contact with
Nicholas Belfield Dennys at the Raffles Museum. He was considered as one of the best field naturalists of his time. In 1883 Davison made his only trip to England and returned to Ootacamund and got married in 1886. He continued to occasionally work for Hume. Hume who was a corresponding member of the Provincial museum at Lucknow around 1884-85 helped Davison with contracts to collect bird specimens for the museum from around southern India for Rs. 500. Davison had a command of Tamil, Burmese, Malay, and Hindi. Davison was unsuccessful in obtaining a post at the Madras Museum as a replacement for
George Bidie and took up position of curator of the Raffles Museum in
Singapore from 1887 and where he worked until his death in 1893. ==Singapore==