Thanks arranroots.
The wiki definition of non-conformist is:-
"In England, after the Act of Uniformity 1662 a Nonconformist was an English subject belonging to a non-Christian religion or any non-Anglican church. A person who also advocated religious liberty may also be more narrowly considered as such. English Dissenters (such as Puritans and Presbyterians) who violated the Act of Uniformity 1559 may retrospectively be considered Nonconformists, typically by practising or advocating radical, sometimes separatist, dissent with respect to the Established Church.
Presbyterians, Congregationalists, Baptists, Quakers (founded in 1648), and those less organized were considered Nonconformists at the time of the 1662 Act of Uniformity. Later, as other groups formed, they were also considered Nonconformists. These included Methodists, Unitarians, and members of the Salvation Army."
Why would it be that non-conformists chose those names? Did they have any special relevance to radicalism, puritanism, etc?