At least, I don't think so.
Did you have a particular model of Quackenbush in mind?
I'll look and see if same gun might've been sold under two different brand names.
The maker was a company that produced rifles that were direct competition to Quackenbush rifles. Hundreds of thousands were produced in the early 20th century. Here's a photo of some other models by this company (which is not Quackenbush.)