First, please post the Model, Type and Code numbers for your Briggs engine. They will be stamped on the engine's cooling cowl, the black pressed-tin piece that is in your first picture. They may be near the carburetor. With that we can identify the engine's Illustrated Parts List, Operator's Manual, and date of manufacture. The mower was probably made just a month or two after the engine - because it is an American mower, there is no long supply line as there is for Australian mowers.
Second, I think there are two easy ways to get the correct belts. The first is by searching the part numbers in the Outdoorking online store, and if you don't find them, send a message to the store staff - they will find them for you.
The second way is by buying them on ebay or going to an industrial belt supplier and giving them the sizes (one is an A82, the other is a B69).
Here are the part numbers and details of the belts, from the parts list.
TM43166A "V"-Belt 21/32� Wide x 69" Long (Blade Drive Belt) - this is a standard belt, called a B69 in the trade.
TM61807A "V"-Belt �� Wide x 82" Long (Transmission Drive Belt) - this is a standard belt, called an A82 in the trade.
Last edited by grumpy; 07/04/14 01:08 AM. Reason: Add detail