I haven't seen your other posts, but if you worked for a large company (especially something like a chain) your direct supervisor probably isn't the one doing the employment verification.

My last employer actually has a third party company do all the employee verification.

I don't think there's a law that says employees can only give out hire/fire dates but I think most employers limit the information to prevent potential lawsuits.

Now if they are looking for a professional reference, is there someone else you could ask - like an assistant manager to be the reference. If you list them and Kohl's asks, why don't you have your manager as your professional reference you could say something like, "I wanted to use someone who had a closer working relationship with me."