Peripatetic Scotland-based blogger Chris Paton has posted on his Scottish GENES blog that Google have added the Glasgow Herald to their News Archive collection. There are 36,297 issues from 20 Jan 1806 to 17 Feb 1990. The bar chart indicates gaps, and there are the usual problems with computer interpretation of the text.
Search from www.google.com/archivesearch/advanced_search with Glasgow as the source.
It's a challenge to keep up with new digitized newspapers appearing on Google News Archive Search. I've yet to find a site where Google posts information on newly added papers. If you know of a source please leave a comment.
Chris also mention that Google has the Glasgow Advertiser from 1789-1801 on the site.
And a note that Chris' peregrinations will take him to Toronto next June for a Scottish Family History Workshop. The Call for Speakers is open until Monday 1 November.