Everton Football Club was founded in 1878, under the name St Domingo's FC. The team was initially created by members of the New Connexion Methodist Church's Sunday school in the Everton district of Liverpool, as a means for people to play sports all year round - not just cricket during summer (source). In November 1879, they renamed themselves to Everton.
In its early years, Everton participated in local competitions before becoming one of twelve founder members of the Football League in 1888. During this period, their home ground was Anfield – a fact that might surprise many given it is now synonymous with arch-rivals Liverpool FC.
Their first significant success came swiftly after joining the League; they clinched their first Championship title during the 1890-91 season (source).