I have a Schwinn Sierra that I use for commuting purposes. I ditched the Innova 26x1.75 "flat magnet" tires and found that new tires really improved the ride of the bike. The Innova tires not only flat easily, they are heavy and have high rolling resistance.

I've used a couple of different tires on the bike with success. I first went with a set of Continental Contact tires. They were also 26x1.75, but had greatly improved rolling resistance. The bike's ride characteristics really livened up with those tires. The Contacts had a good balance between comfort, durability, and rolling resistance.

I am currently using a set of Vittoria Randonneur Pro tires. They are 26x1.5 tires. They are slightly faster tires than the Conti Contacts. These are great tires, though I do feel the bumps of rough roads a little more with these tires than with my old Conti Contacts. The difference in feel is minor, and after riding the bike for a month (500 miles commuting) I like how the tires ride on my "comfort bike."

The next tires I will try are the Continental Sport Contacts, measuring in at 26x1.6" and having a very smooth tread.

You mentioned the Continental TourRide tires. My son's mountain bike has a set of those tires for street use. They are good tires, though they are a little heavy on tread for my tastes. They work well for him, as the TourRide's tread works well for dirt paths as well as paved streets. Unless your daughter plans to do a fair amount of dirt trail or path riding, I'd stick to tires with street tread or slicks like the Conti Sport Contacts.