Are you absolutely sure?
a 1" quill means it is a 1.125" fork steerer. 28.6mm
the headset will use a 36mm wrench,,
If it is a 1" headset , that is the steerer tube OD.
the Quill is fitting the ID, and that is 7/8" aka 22.2, metric equivalent.
the wrench usually used is then a 32mm