I'm Lucy, and I'd be happy to answer your questions today.
I'm finding several companies with similar names. Where are you located? Did they give you a website address I could look at?
Ohio has 54 registered companies with "Green Energy" in the name. Did they give you anything with a full name on it?
Or is this the logo they showed you?
There's unfortunately no way for me to check them out without more information. However, I've never heard of a scam where people go door-to-door collecting personal information by pretending to be a solar company. Most scam artists are located in foreign countries. They don't want to get caught, so the last thing they want is you to be able to give police an accurate description of them. Also, what you're describing is very time-consuming. Scam artists are out there looking to make a quick buck. They'll spend weeks or even months on a particular scam, but they're usually working on multiple scams at once. What you're talking about is too labor intensive to fit the general scam artist profile.
One option here is to check your credit report to see if there is a recent inquiry. That will give you the company's name. You can get a free copy from the government at www.annualcreditreport.com. You could also call the credit bureaus and place an alert on your credit, just in case. The only other thing is to wait until they get back to you - which they probably will - and get their full name so I can do more research.