it seems that the Baptist practice of total immersion was in part (there were other factors) due to the advocacy by a Greek in England. ... established 1633.
Actually, the Particular Baptists were not the first. The first Baptist church in England was the General (i.e. Arminian) Baptist church in London established in 1612 by English refugees returning from Holland, where they had begun the church a year or so earlier under the leadership of one John Smyth.
True, but did the Smythians practice total immersion as a regular ritual? McBeth argues that it was the Particularists who really made immersion into a regular Baptist practice. The General Baptists did pouring, and some immersion now and then, until they imitated the Particularists in going for full immersion, so suggests McBeth.