Methinks you may have your generals confused with your particulars.....
General and particular
In the early 17th century, Baptists in England developed along two different theologies. The General Baptists were so-called because they held belief in a General Atonement. The General view of the atonement is that Christ in His death undertook to make possible the salvation of all men. This position is identified with Arminianism and Amyraldianism.[citation needed] Early General Baptist leaders included John Smyth and Thomas Helwys.
The Particular Baptists were so-called because they held the Particular Atonement. The Particular view of the atonement is that Christ in His death undertook to save particular individuals, usually referred to as the elect. This position is often identified with Calvinism. Some early Particular Baptist leaders were Benjamin Keach, Hanserd Knollys, and William Kiffin.
Present day Strict Baptists of England are descendants of the Particular Baptists, but heavily influenced by men from the Gospel Standard Strict Baptist movement such as William Gadsby (1773–1844) John Warburton (1776–1857) and John Kershaw (1792–1870). Sometimes they are referred to as Strict and Particular Baptists. The terminology "strict" refers to the strict or closed position they held on membership and communion. There are still other Baptist churches known as Grace Baptist who hold to a closed communion table restricted to baptized believers. The Grace Baptist would not accept the view held by the Gospel Standard churches regarding the offer of the gospel. The majority of early Particular Baptists rejected open membership and open communion. One notable exception was the author of Pilgrim's Progress, John Bunyan.
http://en.wikipedia.org/wiki/Strict_Baptist
Thank you, I stand corrected. Its been a few years since I took a Church/Baptist History course. I was going off memory which seems to be slipping