We were planning to stay there and I emailed for availability. I got a reply from them within a day that those dates were available. Then I emailed back with slightly different dates once I had nailed down my itinerary. They didn't reply at all to that email, so I called and reached the owners son, who told me that he would have his dad email me back. He emailed back that the room I wanted was not available.
I did a lot of looking around and decided upon the Paddington area over the area around Victoria Station. Paddington is a little more leafy and suburban and still just as central to the sights. I came upon a small family run hotel near Paddington Station that has the same rates as the Cherry Court. We're staying in a standard twin room for 48 pounds a night, with a bathroom down the hall! The hotel is called "Hyde Park Rooms" is run by a London family for the past 30 years. The rate includes a cooked English breakfast and the hotel has good reviews in Tripadvisor.
We could easily spend $200 a night in London, but decided on the budget hotel option in order to have more money to spend on food and sights!