Chuck and Amy Schumer are not, I believe, as closely related as uncle and niece. Think they are second cousins or second cousins, once removed. Something like that. In any case, politically alike, although Chuck is smarter than Amy.
“Chuck and Amy Schumer are not, I believe, as closely related as uncle and niece. Think they are second cousins or second cousins, once removed.”
http://dailycaller.com/2016/01/28/amy-schumer-doesnt-steal-things-anymore/
Found this article, also trying to get the relation - I believe the latest story from Amy Schemer,is that she’s a distant cousin just as you say, (she’s a real piece of work according to the original interview), and you are correct.