As a printed textiles graduate I wanted to clarify what could be misleading. Hand block printing and roller printing are two different techniques or methods of printing.
"In the roller printing process, print paste is applied to an engraved roller, and the fabric is guided between it and a central cylinder. The pressure of the roller and central cylinder forces the print paste into the fabric. Because of the high quality it can achieve, roller printing is the most appealing method for printing designer and fashion apparel fabrics."
"Engraved roller printing is a modern continuous printing technique developed in the late 19th and early 20th centuries. Until the development of rotary screen printing, it was the only continuous technique. In this method, a heavy copper cylinder (roller) is engraved with the print design by carving the design into the copper. Copper is soft, so once the design is engraved, the roller is electroplated with chrome for durability. The print design development and color separation are identical to that used for screen printing. Once each roller (one roller per color) is engraved, it is loaded on the printing machine. This machine has a main cylinder that is fitted with a large gear. This gear fits into and drives each print roller. Each roller is fed print paste by a furnish roller rotating in a color box full of print paste. The main cylinder gear drives all of these parts. As print paste is applied to the print roller, a stationary doctor blade scrapes away all the surface print paste leaving only that which is embedded in the design etchings."
Many carved wood blocks for printing are built up with strips of copper. Hand block printing;
http://www.youtube.com/watch?v=LZ4_0shRurE&feature=related
"In rotary screen printing, tubular screens rotate at the same velocity as the fabric. Print paste distributed inside the tubular screen is forced into the fabric as it is pressed between the screen and a printing blanket (a continuous rubber belt). Rotary screen printing machines are used mostly but not exclusively for bottom weight apparel fabrics or fabric not for apparel use."
There are variables affecting the final printed textile depending on the method used - the viscosity of the dye, quality of the fabric and pressure of application and registration.
And if you want to find out more about the different methods of printing on textiles this is pretty good;
http://en.wikipedia.org/wiki/Textile_printing