Hi Nancy,
Disney's Saratoga Springs Resort & Spa is beautiful
and it is a very large property. The buses do stop at all of the different sections. The majority of the buses stop in at the sections in this order:
The Grandstand
The Carousel
The Paddock
Congress Park
The Springs
However, the Disney Springs bus follows this route:
Congress Park
The Springs
The Grandstand
The Carousel
The Paddock
Depending on which section you are in, you will likely have several stops. If you are staying in The Grandstand, chances are that you're going to have a seat to sit in on the bus when headed to the theme parks. You'll be on the bus longer though, as you have to make four other stops. However, if you are at The Springs, it might be standing room only, but you won't have to wait as long to leave the resort.
If you board at the first stop, it could take 15 minutes or so before you are on your way to play in the parks.
Wishing you magical memories,
Kaylene