Whirlpool/Kenmore
some of the pro's here will be able to tell you the exact year, that dryer appears to me to be likely 70's ish----the woodgrain was a 70's thing. If we had a picture of the control door up, to see all the controls, some one here could tell you the EXACT year and let you know exactly how the controls and dryer work.
Whirlpool, who also built all Kenmore dryers, came out in 1966 with one of the all time most reliable, easy to repair, efficient designs of dryers ever. If the lint filter is located on top, like this, and pulls out about 18 inches or so, then it's one of the 50 year run excellent dryers, parts are easily availabee, the drum size can vary from damn large to HUGE with the extended back, buy it up! The blower is high-powered and can live with a longer run of exhaust piping than many other brands, too. And the filter, while you need to empty it of lint BEFORE or AFTER every load, doesn't get filled up HALFWAY THROUGH a blanket or load of towels, like many other brands.
The console on this design is called "garage door, " and it's a Lady Kenmore, the uppermost line. And the garage door makes it semi-unique and more collectable. There are also tons of less expensive Kenmore models with fewer options, but all of them carry the same mechanical, long-lasting, easily repaired, efficient design. Unless someone beat it to hell or let it rust in a damp basement, Whirlpool and Kenmore dryers are great workhorses.
I wonder, but don't know, if all Lady K dryers automatically came with the extended back for the largest drum available, since Lady K was always top of the line. Even if it's a standad size 70's Kenmore/WP drum, it's darn bigger than lots of the competition.
Um, I have a variety of brands of dryers that I use routinely, but I personally have found all my WP/Kenmore to be the BEST. I bet you figured out my prejudice by the first three paragraphs.