J.K.
I have been on that cruise as well as three others and I would have to agree with all the other responses and HIGHLY recommend leaving her with your parents. There is so much to do on a cruise but I think you will find that you will not be able to participate in much if you have a baby with you. I have a one year old as well and I would not bring her on a cruise - especially that particular cruise line since it is geared for adults. in fact, you may feel very out of place with a child.
Have a good time!