Hi Ross - welcome to BP!
I can certainly shed some light on the foreclosure process for you here on the island. With ubiquity, the lenders apply for a court ordered sale of the property and then secure the services of brokerage to market the property. Most of the lenders have their preferred agents to deal with.
The property's are placed on MLS. Occasionally the banks will request that no mention of the foreclosure proceedings be mentioned in the advertising however this is not common. Further, once someone became serious about the purchase it would be disclosed by necesity of the process.
The first buyer to offer on the property, negotiates with the lender and this initial offer proceeds much as regular transaction what with the ability to have due diligence clauses such as inspection, financing etc... Once the contract becomes unconditional, a court date is set.
On the day of court, any member of the public is welcome to submit an offer on the property as well. These offers must be unconditional and have their accompanying deposit funds. Being unconditional, if buyers need to secure financing they need to do this before the court date as well as any other appropriate due diligence.
Where there are more than one party making offers on court day, each party is made aware and has the opportunity to change the offer which is then sealed and submitted with all other offers to the Master or Judge who then decides the winning bid.
Having been through this process numerous times I can tell you that while there are deals to be had they quickly evaporate with multiple bidders and it is impossible to know if you'll have any competition until the day of court so the whole process can be a bit hit and miss but exciting none the less!
You're right in that it is easier for agents to locate the foreclosures as we have access to the various systems where they are listed and we are excluded from any 'advertising bans' of their status, so if you're looking to pursue them you should definitely connect with an agent. I can certainly recommend someone for you in whatever area you're looking to focus on as I've met quite a few in the last 10 years, just let me know.
There are many other ways to find motivated sellers however and BP has a plethora of techniques, such as yellow letters, etc, etc.. As I'm sure you are, just keep browsing the site, you'll find no shortage of ideas :)