Hi Jean Marie, I am right handed also and I keep the yarn or thread in my left hand and between my little finger and ring finger. I was taught to let it slide easily and you don't get the pull on your little finger or between them. There is some writings on this method on the Internet for beginners on how to hold the yarn. I know you are not a beginner and neither am I but I did learn some neat tricks. Who says you can't teach an old dog new tricks. The only one that does not work for me is the one where you crochet a finger guard to keep your tension the same. I tried it and it did keep the tension even but I went back the way I am use to. Old habits die hard.
Spoula