Hi MarkSanchez-9060,
In SQL Server 2008 and later versions, a full-text catalog is a logical or virtual object that contains a group of full-text indexes. Therefore, a new full-text catalog is not treated as a database file with a physical path. Therefore, to back up the full-text catalog, you need to identify every filegroup that contains a full-text index of the catalog and back each of them up, one by one.
If a full-text indexed table was online and a population was running when the backup was created, the population is resumed after the restore.
Please refer to Upgrade Full-Text Search and Back Up and Restore Full-Text Catalogs and Indexes which might help.
Best Regards,
Amelia