> URL for the button:
> <http://adeptos.blogspot.com/?guestAuth=PxtNexsBAAA>.
> ENgEPjvUwqkUcLlQuP2OHw.lOaRdifEPSCqHm5kXXjVSw>
> 
> I cannot get HTTrack to click on that button and
> save the blog.  Any ideas?
Httrack does not click on buttons.

Either you get your browser to that page and use the form authorization
procedure - <http://httrack.kauler.com/help/Authentication>

Or if you've clicked on that button in your browser, copy the browser's
cookies.txt file to the mirror directory and start httrack.