https://en.wikipedia.org/wiki/Generic_trademark#Trademark_er...
Since Hyperbole and a Half is Creative Commons licensed (CC-NC-ND), it looks like its licensing requirements would be satisfied by attributing the original source ("Proper credit includes a prominent, easily visible link to the source of the material you want to use...")[1].
I think making sure that images in your blog post are properly licensed is difficult [2], but on the same level of difficulty and importance as determining a license for a software project [3].
[1]: http://hyperboleandahalf.blogspot.com/p/faq_10.html
[2]: I have personally had issues with this, which I wrote about at http://www.marteydodoo.com/2011/01/19/licensing-is-hard/
[3]: http://www.codinghorror.com/blog/2007/04/pick-a-license-any-...
But you cannot claim authorship. That violates 17 USC 106A rights of attribution and integrity.
Woah ... I've just re-read 106A for the first time in a few years. There've been a few additions to that section, including a mess of integrity, modification, and destruction claims. http://codes.lp.findlaw.com/uscode/17/1/106A
Notafan.
the purpose and character of the use, including whether such use is of a commercial nature or is for nonprofit educational purposes; the nature of the copyrighted work; the amount and substantiality of the portion used in relation to the copyrighted work as a whole; and the effect of the use upon the potential market for or value of the copyrighted work.
http://en.wikipedia.org/wiki/Fair_use#Fair_use_under_United_...