Are you confusing this with DAWSONS MOTORCYCLE WORKS ?
This was founded in the Black Country by Leslie "Smokey" Dawson, a reknowned speedway rider. He used Villiers 2 stroke engines in robust square section steel tube frames with the 'Earls' type forks, (where a short swinging arm held the wheel, pivoted at the bottom of the fork tubes. The assembly triangulated by long suspension units.), developed by Ernie Earls of Selly Oak for BSA. The DMW was an odd looking thing, even by 50s standards, but had a strong customer base. Prized today by collectors, with the competition ones being like Hen's Teeth to find !