I read this short fiction, probably novelette rather than short story, about 10 years ago. I read it in English, most probably in some collection. But it might be much older.
I said "almost" steampunk because it takes place in the Victorian era, and there is a reference to Babbage's analytical engine. But the human-size robots that were supposed to take care of children could of course not contain a steam engine. IIRC, they were powered by springs that had to be regularly rewound. So "springpunk", really.
Apart from that I don't remember any other detail. I hope it is enough....