Yes, AM General produces the H2 at its Mishawaka, Indiana plant that opened in 2002. I took the plant tour last year, and if you are a Hummer owner they give you the royal treatment on the tour! Gm acquired the Hummer brand in 1999 and an "option" for minority ownership of AMG.
http://www.amgeneral.com/vehicles_hummer.php
There's also a link to the plant information and a good link about the Hummer Driving Academy there.
The H3 as we all know is made by GM in Shreveport. There is speculation that if they sell the brand name, the only Hummer affected would be the H3, HOWEVER, Hummer dealerships are part of the GM network and sell 2s and 3s and some like Lynch a lot of 1s. AM General could buy the rights to the H3 assembly and the brand back. What if Catepillar becomes a player?
http://hummersonline.blogspot.com/