Finnigan began her youth career with Everton's academy at the age of nine.[3] She's remained with the club for her development and captained the team in the 2014 FA Woman's Youth Cup final.[2]
Finnigan made her Everton first team debut in 2015 making 6 total appearances that season.[2] She would sign her first professional contract with the Blues in July 2017.[3]
On 27 September 2023, Finnigan was named club captain of Everton ahead of the 2023–24 season.[4]