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Her debut solo album was Waits and Waits/Brennan covers:

Eclectic choices even for Waits songs. Though I'd like to hear her take on Poor Edward or Fish And Bird or Soldier's Things

Speaking of which, Waits name drops KCRW Morning Becomes Eclectic which is still an outstanding way to hear new music.

I (a Brit) used to listen to this pretty much religiously in the Nic Harcourt days.