You should convert your Elements 11 Catalogs in Elements 2019.
Go to Catalog Manager (under the File menu);
Click the Convert button (which brings up another dialog)
Select one of the listed catalogs to convert. If your catalogs are not in the default location click the Find more catalogs button which brings up a browser to find the catalog at your chosen location. If you don't see your catalog, check the See Previously Converted Catalogs box.
This process can take quite a while, so be patient.
Added: I just noticed that your catalogs may be on a different desktop. If this is the case, then you should backup the Elements 11 catalogs using the old Desktop and an external or network drive and then restore them to the new Desktop and Laptop, using Elements 2019. If you do this, the conversion to 2019 will take place automatically as part of the restore process.