During WWII the USN (and then private yards) Yards were required to send in a weekly report on what ships they worked on and dates the ships were there along with a brief summary of work done. The reports were normally filed for all yards in a given Naval District. One of the "workload" issues that they tracked in DC was drydock usage. Some of the drydock usage was assigned for specific ships by HQ. Examples would be when Battle Damaged ships were know to need a drydocking for repair, which yard could/would receive a given ship was made at high levels. So, most of the reports I have looked at had a page with drydockings for that week and projected docking.
However, not all the Weekly Reports survived. So there are gaps, particularly the early months of WWII. The PR drydocks would have been reported in the Tenth Naval District that PR was in. I can't recall seeing a specific set of reports for the PR drydocks. I suspect most of their work was short-term repair type events. Major upgrades weren't part of their mission. The one notable large ship that one of the PR drydocks worked on, was the French carrier BEARN. She went into drydock in PR straight from Martinique to make her seaworthy for going to th USA proper for a major overhaul.