Bonney was the son of the Reverend Thomas Bonney, headmaster of Rugeley Grammar School. and
Thomas George Bonney, who was an academic geologist. He went to school at
Marlborough College. His uncle,
Charles Bonney, visited England from Australia in 1858 to 1862. Encouraged by his uncle, he and his brother, Edward, travelled to Australia. Edward went to Australia first and Frederic joined him in 1865 at
Momba Station in New South Wales, near
Wilcannia. In the late 1860s Momba had an area of .
Charles Dickens' son,
Plorn, was sent by his father to Momba Station and he arrived a few days before his sixteenth birthday in 1868. and in his time they were exhibited at the
Melbourne Exhibition in 1880. Bonney's pictures of Wonko Mary record a mourning tradition—Wonko Mary is shown with a "widow's cap" which she has made from gypsum (
kopi) and water, and has moulded to her head. Once he was back in his home county he bought Colton House in Rugeley. He established gardens and an
arboretum at his house. He continued to record local events using photography (many of these pictures are held in a collection at Colton House). He became chair of the parish council and bred show pigeons. Bonney also volunteered to manage his local hospital and the village reading room. ==Legacy==