My late mother-in-law said that when she, 2 older brothers and father entered the USA around 1909 the name was HAMSHANSKY. That was the name she indicated on her naturalization papers was the name she entered the country with. In the 1910 US Census they were listed as Hamshansky. I could never find anything with that name.
I started saying the name with a heavy accent -- they were from Zlatapol. Finally, I found them and 2 older sisters, who had arrived earlier, on different passenger lists as Chramzenke / Chramzanka.
So.............you must be creative and think outside the box. Next mystery was on the 1920 US Census the name was then ORCHEN. Go figure.
Adelle Weintraub Gloger