Commercial laundries sometimes refer to themselves as “launderers,” but the word is usually used now for a person who launders money, not clothes. As for someone who works in a laundry, he or she would likely be called a “laundry worker,” rather than a “launderer” or a “laundress.”
What was a laundryman?
: a man who is a laundry worker.
What is a laundry lady called?
A washerwoman or laundress is a woman who takes in laundry.