How to share a library between two computers
For this to work, both computers need to have access to a shared hard drive so you can put the Pedia folder in a public folder. To simplify this how-to, we'll use DVDpedia as an example and call the two computers 1 and 2.

1) Make sure DVDpedia is not running on either computer. Then move the data folder, by default located in your Home folder under ~/Library/Application Support/DVDpedia, to the new location you have chosen.

2) Now hold down the Option key and start up DVDpedia on computer 1. This will prompt you to choose a database. Choose the data folder you just moved to the new location.

3) Go to computer 2 and start up DVDpedia with Option held down as well. Choose the same data folder that computer 1 is using.

data folder location

NOTE: If you ever forget where you have put the data folder, you can see the path in Preferences/General.