You can not rely on simply the 2 words "Old Town" if the apprear in the name of the hotel.!!!
If you want to stay in Alexandria's Old Town you need to use a map like google to check the location.
If you don't look on a map you may end up with staying in a brand that you know (or don't know) that is not even walking distance to Old Town.
Always check the locaton before booking.
Especially if you do not have a car.