Flat iron has P &H Mfg stamped in the metal on the handle. It rests on a B &D (Bless & Drake) iron trivet/stand. The pair display nicely!
Before heated irons, laundry and cloth were smoothed with a wooden roller and flat board without any form of heating or by rubbing with glass linen smoothers, polished stones or even hard wood.
Solid irons that were heated in front of fires began to be used in Europe from the 17th century (the technique was employed much earlier in China). They were known as sad irons, ‘sad’ being an old English word for ‘solid’, though the term ‘flat iron’ became more common.
More history of these irons is available in this link...https://blog.adkinshistory.com/sad-irons/