Hi Andrew,
What you want to do CAN be done. However, if your knowledge of Access is limited (no disrespect intended), I would suggest creating one database, first to make sure it is working as you want. Since you want to use the same ID number, computer generated, how will each of the 4 users know what has been used?? You may want to consider taking the first db and spliting it into a FE (front end) and BE (back end) and have the BE on a server. This BE will contain all of the tables. The others should be networked. This way you will only need ONE database with copies of the FE on the other PC's.
If I understand correctly what you want, ie, 4 seperate db's independent of each other where you then want to combine data for future evaluation, then all I can invision is confusion.
An investment in knowledge always pays the best dividends.
by Benjamin Franklin