The first stone printing press opened in Iraq was in the holy city of Karbala at the year of 1273 Hijri - 1856 AD during the reign of Marshal "Mohammad Rashid Pasha".
The most of the publications made by this printing press were commercial pamphlets, religious books and letters containing the ethics of ceremonies in the holy shrines of the prophet Muhammad's household "peace be upon them all".
Source:
The Karbala's Comprehensive Civilizational Encyclopedia – The Historical Section/ Islamic History Department Vol. 3.