Ashbourne was born in the village of Ashbourne in Derbyshire, England, in 1876. She was the daughter of John Ashbourne, a doctor, and Mary Ashbourne (née Smith). Ashbourne had two siblings: a brother, John, and a sister, Mary.
Ashbourne was educated at home by a governess. She showed an early interest in the arts and culture, and she was particularly fond of music and painting. Ashbourne also enjoyed spending time outdoors, and she was often seen walking or riding her bicycle in the countryside.
In 1900, Ashbourne married John Smith, a lawyer. The couple had three children: two daughters, Mary and Elizabeth, and a son, John. Ashbourne and Smith lived in Ashbourne for most of their lives, and they were both active in the local community.
Ashbourne was a member of the Ashbourne Ladies Club, and she was also involved in the local historical society. She was also a talented artist, and she often exhibited her paintings at the local art gallery.
Ashbourne died in Ashbourne in 1960 at the age of 84. She was survived by her husband, her three children, and her grandchildren.
A.P Ashbourne's life was likely one of privilege and comfort, surrounded by family and friends who shared her interests. She had the opportunity to pursue her artistic passions and contribute to her local community, and she likely lived a fulfilling and enjoyable life.