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.
One can be happy that something exists while at the same time lamenting that the design isn’t ideal
(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)