The point is that they used this bottle style before the turn of the century and that ketchup is not the only thing that was put in them. The Joseph Campbell & Co and Joseph Campbell & Bros were being use in the early 1870s until 1892. His bottle could be as old as 1892. There are several lip finishes used on the bottle after 1892 and the square luged lip was from the early 1890s. the patent from 1901 was for the slip lug bottle which was very popular in the early 1900s until the late 1920s or early 1930s and was to ease puting the lid back on..
I'll try and get better pics for the top and bottom. Im pretty sure it is a hand applied top. there is some real clear uneveness around the top just below the lugs. also the bottom is smooth and has no markings.