The block is called Whirling Diamonds and is from the Kansas City Star (circa 1937).
Personally, I would not get a quilt top that age anywhere near a washing machine, let alone a commercial dryer! Soak in a bathtub (with a sheet underneath so you don't have to pull on the quilt when wet) in three parts warm water and one part white vinegar. Rinse well, squeeze out as much water as possible (do not wring) before lifting out of the tub. Dry flat with a fan blowing over it, not onto it. It's worked for me several times on antique quilts.