While a cursory search appears to prove your point (given the constraint of "public funds"), the fed has bailed out hedge funds [1], I don't remember reading that all.
Probably the quietest "bailout" comes from Long Term Capital Management in 1998 was basically bailed out by banks at the urging of the feds[2].
It seems that most funds are left to die [3] (or, more alarmingly, dissolved at the hands at the SEC for insider trading (I'm sensing a trend...))
Perhaps, as "an exercise left to the user", I'll look more deeply at this matter; as it's quite interesting.