Jim,
I got out my 1935 Sears Spring & Summer Catalog and your Kenmore Deluxe is indeed on page 526, and it is the top-of-the-line model! It was priced at $35.50 cash with your old cleaner or $39.00 and your old cleaner if you made payments. It was also referred to as the Famous Kenmore 39, and the other models on the page were the Kenmore 29 at $26.95 and your old cleaner and the Kenmore 19, which was a horizontal motor machine similar to an early Eureka, at $17.95 and your old cleaner. None of them made any mention of attachments but there was a hand vac on the page called the Kenmore Junior. I scanned the page and would have posted it here but my Scanner/printer wouldn't let me download it.
Jeff