Which Adobe application(s) are you talking about?
As an example, if you're downloaded Adobe InDesign from the Creative Cloud, there is absolutely no difference in the way it uses fonts from a copy of Adobe InDesign that you installed from a DVD. Both applications are run from your computer's hard drive.
Your company's fonts would need to be installed on your computer to use them in any computer application.
The fonts had been installed on my machine but it appears something has happened and they were removed. I have reinstalled and everything is now working properly.
Thank you for your help.