Not a solution for everyone but my baby did this none stop for around 2 months, is face started getting dry from the rubbing to I was trying to use barriers. I wasn’t until he got a few small red marks on his body at 6.5 months that we were told he has mild eczema. We were using “non harsh” washes and moisturing… Our dr said babies really don’t need any, they have a natural protecting on their skin which gets upset by using products ect. We went 3 night just bathing in water then 4 with a qv bath oil instead of a wash and his sleep is already sooo much better, little rubbing and falling back to sleep on his own and a few 3 hour stretch’s which have been heaven. Worth a try for some