Continuity mistake: In the scene on the boat, when Dimitri gives Anya the blue dress, the piping along the sleeves and the bottom changes from white, to nothing and back to white.
Continuity mistake: When the Dowager Empress is walking towards the door and says the cinnamon smell is from an oil, her reflection in the mirror exactly matches her movements, including when she turns, when it should show a mirror image. Note the blue sash is on the same side in both. A quick reflection of Anastasia's head just before when she says "I just want to know who I am" has the same problem. After they sit the reflections appears to be right. (01:09:40)
Continuity mistake: When Rasputin is tugging Anastasia's foot on the ice, her shoe changes from a ballet shoe to a soft-looking slipper. Also Rasputin's left arm/hand goes missing. (00:05:39)
Continuity mistake: In the mirror scene with Anastasia's grandma when they're singing, the mirrors show the hair band Anastasia's wearing disappears. The lower part of her earring is missing in the reflection shortly afterwards. (01:08:20)
Continuity mistake: When Anastasia is singing after leaving the orphanage, there's a part when you see Pooka playing with these squirrels and in the next shot they disappear.
Continuity mistake: In the song "Paris Holds the Key to Your Heart," at the beginning of the song, when they sing "Down what we call la rue," the girl selling flowers stands next to Anastasia. In the next shot, she stands a little bit behind her.
Answer: She may have tried to find her, but thought she was lost forever. Later in the movie she was getting old and was afraid that her family's legacy would die with her. It was then that she offered a large reward to find her.