Make personal info not visible while having a weebly account

[PP36]

How do I protect my privacy? If Weebly is sharing my name with everyone? My full name becomes visible when you search for my site? Can that be changed somehow? I don't mind if Weebly keeps my info, that's fine, and makes sense. I just don't want my full personal name to attach to my website name. Too many weirdos out there! I don't mind normal people contact me but I'm having issues for the first time in my life with a possible unknown scam/stalker. Can anyone help me solve this? I don't know what to do at this point. Thanks 

[Bernadette3]

I don't think your name is relevant to the website, but you could be seeing the site on your end based on your search history. The search engine crawls the site for keywords and text on your site, not the information in your account. You are more than welcome to send @Adam or I a private message with more details or screenshots and we can confirm what we show on our end. 

Did you add domain privacy to your domain after you registered it?