If you go to the Info on Foundrys board and look for the Alfred Andresen and Scandinavian Importing thread, you will find a picture of the Andresen storefront with both names on it.
My belief is that they are actually less common and slightly earlier than the Griswold line, but there is not as great a collector demand.
Harry, the foundry section of the forum that Tom mentions is on the WAGS member part of the forum and I don't think you are a member so you won't be able to see it.
Tom, Griswold was making waffle irons as early as 1880 or even earlier so I don't think Andresen predates the Griswold irons.
Harry, if you are just looking for a waffle iron that is well made, easy to use, and makes great waffles I would suggest any No.8 size of:
Griswold Hearts Star
Griswold 1908 patent irons with pattern #'s 314/315 (312/313 are identical)
Andresen or WI Heart Shaped irons.
All of these will make great waffles and are quality irons that you can find with a little looking. My personal favorite and what I think is the best waffle iron every made is the 314/315 Griswold on a high frame. $50 to 100 is about the range they sell for. I have the Hearts Star but prefer the standard pattern of the 314/315.
None of these irons has been reproduced, or reproduced so that you can't tell an original. Just remember that all of Griswold's castings are well done with neat writing and a pattern number should be on every piece they made after about 1891 with only a very few exceptions (Cliff Cornell skillets and ??)
Steve