Is there any way to copy a bibliography database between computers?

Win 7-64/ LO 7.5.1.2 (x86-64) desktop
Win 10-64/LO 7.5.1.2 (x86-64) Work Laptop
Win 10-64/LO 7.5.2.2 (x86-64) Travel Laptop

Unable to copy a Bibliographic database (.odb file) from my Work Laptop to either my desktop or Travel
Laptop. In both cases Tools->Bibliography Database-Data Source loads an .odb file with the message that
“The following column names could not be assigned:
Do you want to edit the column arrangement?”

for all the column names. When an attempt is made to assign them, all column name assignments are and there are no other choices with which to make an assignment. The effect is that the .odb file is unusable.

Is there any way of copying .odb bibliography files between computers?

You didn’t describe how you “copy” the bibliography database.
The configuration directory path is given in Tools>Options, LibreOffice>Paths. You can guess the path for the bibliography by taking the path for e.g. AutoCorrect and replacing autocorrect with database. This is a directory where you find biblio.odb and an auxiliary sub-directory biblio. Both must be transferred to the other computers.

EDIT (after @Wanderer’s answer)
The .dbf file is in the biblio subdirectory of database in your user profile.

Yes, just copy the file. But, if you use the default datasource “Bibliography” in LibreOffice you have to understand this is actually a dBase File. So the .odb contains the Location of the folder with the .dbf-file. The actual data is in the .dbf.
.
So in this case you have to copy the dbf and replace it on the other system. (This will loose the data stored in bibliogaphy on the other system, So keep backups…