Reusing StoryBoard to Move TextBlock

I have been looking for a way in order to animate an object more than once with the same animation. I have a textblock that I want to move down the y-axis by a certain amount and I want it to hold there. Later I want to move the textblock further down the y-axis with the same animation. So far whenever I try this part, all it does it revert the textblock to its original position and then animate it. I've looked around and haven't really seen any questions that pertain to mine, so I figured I would ask my own. Here is the method that plays the animation.

foreach (TextBlock aBlock in theTextBlocks)
            {       
                var tg = new TransformGroup();
                var translation = new TranslateTransform(30, 0);
                var translationName = "t" + translation.GetHashCode();
                RegisterName(translationName, translation);
                tg.Children.Add(translation);
                aBlock.RenderTransform = tg;
                var anim = new DoubleAnimation();
                anim.By = 100;
                anim.Duration = TimeSpan.FromSeconds(3);
                anim.EasingFunction = new PowerEase { EasingMode = EasingMode.EaseOut };

                var story = new Storyboard();
                Storyboard.SetTargetName(story, translationName);
                Storyboard.SetTargetProperty(story, new PropertyPath(TranslateTransform.YProperty));
                var storyboardName = "s" + story.GetHashCode();
                Resources.Add(storyboardName, story);
                story.Children.Add(anim);

                story.Completed += delegate
                {
                    if (queue.Count != 0)
                        Create_TextBlock(this, null);
                    else
                        button1.Content = "off";
                };
                this.BeginStoryboard(story, HandoffBehavior.Compose, true);
                button1.Content = "on";
            }