The 56-foot fishing vessel Lively Jane sank in Anderson Bay near Valdez, Alaska.   The Lively Jane had struck a submerged rock which holed the hull.   The crew sent out a distress call which was received by the nearby fishing vessel Alioth.   The Alioth rescued the 5 crew of the Lively Jane and contacted the Coast Guard.   The Coast Guard launched the 25 foot response boat which took the Lively Jane crew back to Valdez.  The Lively Jane had 75 gallons of diesel fuel and 25 gallons of lube oil on board when it sank.   No oil pollution has been spotted on the surface.   The owner has hired a firm to begin salvage operations and pollution control.  The Coast Guard is conducting an investigation into the sinking.