Why 2 Different Designs On 1852 Quebec One And Half Penny?

The outstretched arm is in a different position and the marks on the beehive go in different directions, just to name a few. I will try to add pictures, but I don't really know how to just yet.

I would imagine that the master punches or hubs were designed slightly different. I think the design :idea" is the same, showing, essentially, the same theme, but 2 different people/groups designed/made the masters. Both masters were made from scratch, so there will be differences. Just comparing the distance/rotation of the lettering with regard to the main design element shows you many differences. I think that both are very nice tokens.

Until the invention of the Janvier reduction machine at the end of the 19th century pantograph lathes were extremely slow and inaccurate.
Most mints chose to hand engrave as it was cheaper and faster.