Problems with transferring FCP X Library (projects) to another computer

I have an external HDD with some FCP X Libraries created in FCP 10.4. Now, I would like to edit these Libraries (projects) in another computer in FCP 10.4.6. But, when I try to open any library from the HDD, I always receive: The operation could not be completed. Permission denied. “Library name” is already in use by “Macbook” on “Macbooks-MacBook-Pro.local”.

What's wrong? Is there any other projects data saved in another place besides Library?

Thank you!