ZoE lays down right next to me. Right now, I'm sitting on the sofa and she is laying against my right thigh. She very rarely lays down on my lap. When she does I relish it and won't move for anything. Of course ZoE is known to time her lap time just so...you know, right when I'm thinking I should probably get up and go use the bathroom, she'll crawl on my lap and snuggle down.