I don't remember the Cappuccino Cafe (but then again, I don't drink coffee, so I might not have paid attention to it) It is located near the museum entrance, the café features snacks, soup, sandwiches, and specialty drinks.
Tuesday-Friday, 8 am-4 pm
Saturday, 9 am-5 pm
Sunday 10 am-5 pm
As an alternative, ticketed visitors are welcome to picnic on-site. Tables are located at the Picnic House (next to the Visitor Parking Area) and on either side of the Galleries.
Because Winterthur has such extensive grounds, it is particularly good that there is some provision for eating lunch. Otherwise in the space between tours, there wouldn't be time to drive offsite to get something to eat.
Located in the Visitor Center, the Garden Cafeteria offers lunch, snacks, and Sunday Brunch.
10 am-4 pm (hot food 11 am-3 pm)
Sunday brunch: 10 am-2 pm
Favorite Dish: Since I was there in 1969, I don't remember what I had to eat.