Lyric discussion by A Red Hotel 

Cover art for Bury Me In Black lyrics by My Chemical Romance

Death Rock is nothing like Death Metal...its a subgenre off of Punk. Heres a little thing taken off of Wikipedia.com

Deathrock emphasizes a creepy atmosphere and an introspective mood within a characteristally punk or post-punk music structure. Songs typically use simple cords, echoing guitars, a prominent bass, creative drumming, and repetitive or tribal beats, all within a 4/4 time signature. To create atmosphere, scratchy guitars and/or keyboards are used and experimentation with other instruments to produce unusual sounds is encouraged.

Lyrics are typically introspective and angsty; they deal with the dark themes of isolation, irony, disillusionment, loss, death, etc. all of which are designed to strike an emotional chord with the listener.

However, this places a great demand on the lead vocalist to convey complex emotions, so the lead vocalists are typically charismatic and have strong, distinctive or unusual voices in order to stand out from the heavily atmospheric and rhythmic music.