Yes, Written in Ashes is definitely a goth band because most of their albums belong to the Gothic Rock, Darkwave, and Second Wave of Gothic Rock genres, which are among the core subgenres of goth music. Albums like Eternal, Epiphany, and Written In Ashes are examples of their goth sound.
Written in Ashes is located in United States, Oregon, Portland, active in 1996 — present. You can find more information about Written in Ashes on their GothDB band page.
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