Hello again,
Thanks for your second suggestion, Joe.
I actually found the solution to my specific problem in a WordPress forum dealing with a problem people have been having with the latest Yoast SEO plugin update:
http://wordpress.org/support/topic/new-wordpress-seo-update-cant-edit-seo-title
My problem was basically finding a way to avoid redundancy while putting some necessary info into the browser title bar. Although I'm sure that can be done programmatically by some PHP code, I have no problem just typing it for each page/post.
So the solution revealed in the forum at the URL above is simply to place the cursor into the SEO Title field on the Add New Page admin panel, hit the spacebar (which takes away existing title -- site text) and type the desired custom info.
I hope others will find this helpful.
Robby