She always talks about her late husband.

Literal

She [topic-は] passed-away husband [about-のことを] talking [subject-が] usual is.

亡くなった is the euphemistic past form of 亡くなる ('to pass away'), a respectful way to refer to death. のが常です means 'it is her constant practice to' — 常 (つね) means 'usual/constant.'