My mom took me for my birthday last year. We had a great time. It was really relaxing.
As for the menu, I'm not sure if they would let you split a set. It was priced per person with all the tea you could drink. Of course, one person could order a tea/food combo from the menu and the other could just get tea and split the scone, etc., but I don't think they would let you both have tea without paying for two people. You can each order a different tea and there will be two pots. If you order the same tea, they will only bring one pot.