For example, Moms Place. Sure, they have a Tripadvisor page, and a Facebook page that hasn't been updated for 5 years, but no website, no way to book online.
I may stay there next visit, but only because we've eaten there and asked to look at the rooms and discussed the rates.
I have a list I've made over the years of places I've passed by that I hadn't seen on the web. Some of the places may no longer be open, or since the list is a bit old, they may now have a web presence. I'll post it this evening.