Alice Pickering (1860 – 18 February 1939; née Alice Simpson) was an English tennis player.
Pickering played at the Wimbledon Championships from 1895 to 1901. In 1896, she won the all-comers-competition at Wimbledon 1896, but lost the challenge round against Charlotte Cooper 2-6, 3-6. She again reached the all-comers final in the following year, but this time lost to Blanche Bingley.
In 1896 she won the doubles competition at the Irish Championships partnering Ruth Durlacher.