Well, ignoring capitals until we can reach a proper agreement on where Wessex should like to establish a capital (we could agree to disagree and make a choose-your-own-capital-anywhere-but-London event, as I am adamant this capital is not London), I'd like to give a basic overview of the Lollard Wessex plotline.
Naturally, it has the same backstory as the catholic Wessex.
In the beginning, Wessex allowed Lollardy to spread, and eventually it reached critical mass and converted the entire state to Lollardy. This immediately presented one problem: Everyone hated them. I would like to temper this somewhat based upon the outcome of the Hussite deal. If Jan Hus wins everything, then Wessex won't face backlash, and the worse Jan Hus' fortunes, the stronger the backlash against Wessex (of course, this would require rebalancing that entire event string to put the odds on more even footing, as I'm sick of having Bavaria win every single time).
So, at moderate levels, one major power might decided to call Wessex on it, and at the worst extremes, pretty much all of the British Isles blows its top. Of course, being a currently-fervent religious group, Wessex has onslaught readiness, and can repel them.
At this point, Wessex has probably gained a few lands, most likely: Anglia, Midlands, and York's secondary land. It is essentially England. There's a brief murmur that the Duke of Wessex should claim the throne, which the Duke quickly quashes with an impassioned speech from Canterbury (not the head of the Lollard Church, as there was no such thing, but where the King preferred to have service due to Chaucer's works), in which he explains that he will accept no catholic throne, as his country is legitimate in its own right.
Later, he acquires more land, probably 60% of Albion or more, and decides that he has sufficient power to establish his own crown. The as-yet-un-named kingdom will be headquartered somewhere new, avoiding London due to the Catholic connotations, and will cause Lollardy to spread like a virus to the surrounding countries. At this point, if the Duke of York has lost their relationship with Scotland, he will voluntarily join Wessex, in exchange for the ability to retain his rights.
The King leads them into prosperity (the details of his conquests remain as yet fuzzy), and in the proper rising arc, the next heiress will be female. Naturally, she's fairly well scorned by most everyone, but quickly proves herself both a mistress of Lollard theology, and quite skilled at their job (this ruler will be land or water military, in relation to the now-past event where you choose between a General or an Admiral to lead your country), and takes the fight into France, or attempts to finish Albion, based upon your earlier decision. A Lollard General Wessex will unite Albion, and then hijack Scotland's claims on Norway (not being able to completely reproduce them, they will however be able to -eventually- annex Norway), before using this foothold to move into Kalmar, then into Germany, or Russia. The Lollard Admiral Wessex will seek Anjou and Paris, and control of the English Channel, capable of a much higher Lollardy-Infection rate. The Queen becomes a beloved monarch, and greatly respected throughout Europe, despite being a godless heretic, and more to the point can tie Wessex to the fates of one or two countries, and due to a shift in interpretation, the Queen has the same status in inheritances as a King, or else.
Eventually, however, opportunities start drying up in Europe, as resistance grows greater and greater to the Lollard Empire, and Wessex joins the colonization craze late. From here, I'm not entirely sure where to take it. Perhaps Africa. To the point, however, Wessex will be constantly seeking to spread Lollardy, not overdue to religious zeal, but rather to their obsession with stopping the Catholics whom they perceive as oppressive.