Hi
I do not about the USA, but in the UK this shape of spanner was used to adjust ploughs (plows) or cultivators where the various coulters and mould boards could be set to different furrow widths.... Square headed set screws were used to lock the various parts onto round cross bars or square headed nuts and bolts on the rectangular side frames - in use up to WW2... Generally bigger than 7/16" or 1/2", for ploughs, but these smaller sizes could be found on hand pushed machine for the home gardener or professional horticulturist.