ホモテナシ

• Originally, Chinese braziers (760 AD) made from bronze or iron, with 3 legs. Ash in these, according to CQ82, was formed into 3 mountains, each one with one of the trigrams ☲ (fire), ☴ (wind) and ☵ (water). First ones with demon-mask design and fitting kettle imported to Japan in XIII by zen monk Nampo.
• Earthenware braziers (どぶろ) appeared around XV in Murata Shukō's time, because they were more suitable to 侘茶. Famous makers were Sōshirō and Zengorō.
• Palmer sketches the development roughly as matched 釜 and 風炉 being the first, some old 風炉 rusting away and thus needing a 五徳; giving the idea to develop the 眉（まゆ）shape, and then, under Dōan, doing away with that eyebrow and arriving at the 面取（めんとり）shape.

The following is mostly from verdure, with some anecdotes from CQ82 and the Chanoyu Vocabulary

Earthenware 土風炉 (どぶろ）, associated with Nara where they became popular around Jōō's time, with masters such as Sōshirō being from there.

眉	まゆ		Eyebrow in English, 真
透木	すきぎ		Murata Shukō's invention
紹鴎	じょうおう		Named after Takeno Jōō
頬当	ほおあて		Named after a piece of armor guarding the cheeks
道安	どうあん		Named for being his favourite, also made in copper and iron
面取	めんとり		Also made in copper and iron
雲龍	うんりゅう
紅鉢	べにばさ		Rogue pot, because it resembles the shape of the mortar in which saffron (beni) was pounded
四方	よほう
箪瓢	たんぴょう		Gourd-shaped
雲華	うんげ

Bronze 唐銅（からかね）

鬼面	きめん		❝the original❞ (from China, for the 台子)
朝鮮	ちょうせん
琉球	りゅうきゅう
色紙	しきし		Favourite of Enshū
鳳凰	ほうおう		Favourite of Urasenke VIII

As for ironware, some bronze ones are also made from iron; but the only 風炉 that is always strictly iron is the 窶 (やつれ), which is used in October.

There exists what is probably 利休's shittiest invention, the 板風炉（いた）: