You are actually both right - baby corn is just as the name suggests and can be simply the the immature ears from regular corn plants. However, your husband is also correct in thinking that there are special baby corn varieties that can be grown. These varieties are usually bred to produce more ears of corn per stem than regular corn. There is absolutely no reason why you cannot use a regular variety however This article from the Pacific Northwest Extension explains in more detail

http://cru.cahe.wsu.edu/cepublication...