However it seems those early dishwashers where pretty different to modern ones, least of all not being automatic: https://www.homestratosphere.com/dishwasher-history/
> The first mechanical dishwashing device was registered for a patent in 1850 in the United States by Joel Houghton
> The device was both slow and unreliable.
> Another patent was granted to L.A. Alexander in 1865
> Neither device was practical or widely accepted.
And finally
> The most successful of the hand-powered dishwashers was invented in 1886 by Josephine Cochrane together with mechanic George Butters
(https://en.wikipedia.org/wiki/Dishwasher#History)
So yeah, all three invented the dishwasher it seems, but thanks to Josephine Cochrane (and Butters), we actually have a working and reliable dishwasher, something Joel Houghton was unable to build.
You're all right, in your own way.
(Edit: though incidentally, it turns out that the inventor of the dishwasher — or at least one of the earliest working designs — was a woman, as the sibling post pointed out; didn’t know that)