Not so fast! There was one before the Borchardt. Joseph Laumann, an Austrian, had one out in 1892, a year earlier than Borchardt. It was called the Schönberger-Laumann. Borchardt was just the first one to achieve commercial success.
There may be one even earlier. I read somewhere of a couple of brothers in France names Claire, who had one out in 1888, but I can't confirm this one.