I was also going to suggest that you starch your fabric stiff as a board. From what you described it sounded like you were putting the flowers down on a square and then sewing. The website that I saw showed that they did the flowers first, then put them on the square. It would seem that would be a much easier way to do it.
I found a website where a quilt guild was doing the blocks for a charity quilt. Maybe you can get a better idea from seeing how they did it. By the way I love the music they did the show with:
http://play.smilebox.com/SpreadMoreH...544d3d0d0a.jpg
Hope this helps some. Remember quilting is suppose to be fun and the project you chose is a 'loosely translated project', meaning when the quilt is finished and washed you probably won't notice any wrinkles as it will all come out into the wash.