Number each chamber and fire 18 shots onto the paper, noting where each ball from that specific chamber went to.
Now, as for the first shot being on and the others off, could be your sixgun doesn't like a fouled bore if you're even wiping it between loading???
You asked another question earlier about Pietta versus Uberti. While I do not believe it applies in your case, the newest Ubertis are superior to Piettas when compared to the originals as for their sizes. The Piettas are larger. The loading lever catch and front sight are dovetailed on the Uberti and they tightened up their twist on the NMA in 2007 while Pietta did it in the latter part of 2012.