My Adoptive family was the first tree I did, I found that a lot of people shared my info on the web so made it private, I only open to confirmed 'family' members, I started my Blood family tree out of curiosity after sending off for my original Birth cert, I have since found out I have 2 half sisters and 3 half brothers living 15 miles away ! I have always kept this tree private as well. If I get a request for me to open my tree I always ask which tree and check that they match either by looking at their tree (public) or asking for the person they are interested in.