near the end of 1700's and early 1800's jewish people were required to have surnames. not so before that so it will be difficult to find out specifics unelss family members remember.
You may wish to read a history book for what was happening at that time like the pogroms.
which is mostly why the emigrated at that time. perhaps upper class if they could afford to do so?
My own paternal gmother left kaunaus in 1906 -a bas kohane.
asking in general about 2 surnames without specifics is like asking if you know any smiths.
There are also rotenbergs who may be related .
you may wish to use jewishgen.org /census records/vital records etc.
Are these extended family really related or "machatunim"?
Maybe family are interrred at same cemetery and you can get dates for obit lookups.
plse post addenda if possible