I recently baked another cake called a “coffee cake” which also had no coffee. The name refers to cakes that are best when accompanied by a cup of steaming, aromatic coffee (as described here).
Coffee cake photos and recipes here and also on this site, which explains that coffee cakes are usually made in the same manner as muffins: wet ingredients + dry ingredients with minimal mixing. This method is also used in the Blueberry Muffin and Applesauce Nut Bread recipes which I posted earlier.
A search on the internet seems to point to coffee cakes as a particularly American type of cake, which is consistent with the other very American recipes in my grandmother’s notebook.
Tea lovers like me should perhaps be baking tea cakes (which also do not contain any tea) instead :)?