Your first task is to create a master table, perhaps called tblEmployeesInTraining. This would include an autonumber generated by Access, which you would use as your Primary Key, and the employee's name and all other demographics. You would then use the PK in all the other tables (you may want to import the spreadsheets into Access; design of data entry forms is not difficult, and is straightforward) instead of the employee's SSN or name; ergo, you would remove the SSN or name, and replace with the PK from the table.
You already understand that the table tblEmployeesInTraining would have one-to-many relations with all the other tables.
You may need additional tasks, depending on the complexity of the DB. We're here to help.
Sam