Freddy could catch her no problem. He has a horse.
Doki Doki Majo Shinpan! (literal translation Thump-Thump Witch Judgement) is well, hmm… How about I let Wikipedia sum it up for us:
[In Doki Doki Majo Shinpan!] the player assumes the role of junior high school student Akuji. He has been asked by an angel, Lulu, to locate a witch that has sneaked into his school. In order to find the witch Akuji must search the suspects’ bodies for a “witch mark”. The preferred method is by using touch (using the stylus to guide his hands).
And that my friends is Doki Doki Majo Shinpan!. And, well, yup. That pretty much sums it up.