[Bishop Edward]

IMHO (& the RP I've been using vis-à-vis my own cleric of Kossuth)

Kossuth = Kossuthite
Generic Cleric(3e)/Specialty Priests(2e): Firewalker

Clergy of Ascending Rank = touchstone rank, (parenthetical explanation)
Lightless = Non-Initiated Clerics (those outside the official Church/faction)
Torch of the Faith = Temple Initiate
Righteous Flame = Lay Priest
Devoted Blaze = Clergy Initiate
Zealous Pyre = Junior Clergy
Pillar of Flame = Clergy (often simply titled "Flame")
Fury of the Faith = Senior Clergy
Flame Brother/Flame Sister = Respected Clergy
Inspired Forge = Senior Respected Clergy
Numinous Blaze = High Priests (ultimate authority in individual temples)
Most Fervid Fire = Cardinal Clergy (authority over the whole faith, beneath the EF)
Eternal Flame = Pontiff (ultimate authority over the whole faith)

To complicate matters, there are two priestly orders: Tendrils of Flame & Burning Braziers. Tendrils are the cloistered clerics who tend the temples; while Braziers are the "Adventuring Arm" of the Clergy.

Sources: Faiths & Pantheons (3e); Faiths & Avatars (2e); Thay PW in-game lore (derived work)

Bonus Features: Specialty Priests of Velsharoon = Necrophants (c.f. Necromancer & Heirophant); while True Necromancers (Necromancer/Necrophant 'Mystic Thrueges') are the most "vaunted" (highly esteemed) priests of that faith;

And you left out Moander - Minions from your list :P