Batch watermarking images with logo - Photoshop Elements 13

I regularly upload 300+ photos per week onto both my website and Facebook page.   The way my web page is set up (by the host), every photo uploaded has my large logo imprinted on it.

For Facebook, I have to go into Elements, Expert, File, Process Multiple Files, Labels and Custom Text, where a copyright sign and web page text are typed.  Once I've clicked on Ok, all photos are "batch processed" with this text, and it takes a matter of minutes to process the however many photos.

The problem I have is that the text isn't big enough and plenty of people are happy to download the image(s) and ignore my copyright logo.

Essentially, I'd like to "batch process" a large logo with graphic onto each photo.  It appears that Elements doesn't allow this.  Can it be done in Photoshop or Lightroom please?

Thanks