Hi Brad,
I don't think you're actually doing anything "wrong" here, but Blogger is not as flexible or advanced as Wordpress, and has shortcomings for both usability and SEO purposes. Are you trying to create re="author" tags so that they will display correctly in search results?
You can encase the Google Plus link in a rel="author" tag, and that should work, but I am concerned that there is not a way to set this up such that the "posted by Brad Russell" tag automatically links through.
Has the company thought about moving over to Wordpress for this blog? It generally makes life a lot easier!
Cheers,