I'm certainly no expert with regarding to tracking fishing boats, but this (and all?) sport fishing boat has a schedule viewable online:
Their phone number is: (619) 221-8500
I would suggest folks direct questions regarding the ship's schedule to the boat or landing itself to reduce the amount of call-and-response emails about the Liberty's whereabouts. Just my two cents.
Source: SanDiegoRegionBirding Latest Reports