You can use the unmatched query wizard. This works only if you have designed your tables correctly. The 2 tables should be linked by an id field. Where you have received a form, you will have an entry in the eligibility form table. So if you run the unmatched query wizard what you will have is a left outer join and the filter criteria in the elibility form table primary key is set to "Is Null" But the wizard does it all and you don't need to worry about what kind of join it is.
I am a bit worried. The overriding principle of a relational database is that no piece of information is ever stored twice. In other words you shouldn't be linking tables via comapany names. They should be joined via a primary key. You will have problems linking tables via names. The slightest typo makes them different.
Check out the Northwind database and the examples there.