Actually, I think I can now answer my own question! A Russian speaker has informed me that the word sounds like the Russian for pea-coat. Is that correct? The kitchen people wouldn't have worn pea-coats on the job, of course, but maybe the various Palace servants were all supposed to dress a certain way, and so were provided with clothing. I believe such was the case for nannies and other nursery staff, so perhaps it was also true for others.