The term "cradle position" refers to a posture in which something is held safely and gently, similar to how a baby is held in someone's arms. Full definition
He feeds better in the cross cradle position but my back can't take it with nothing to lean on. (cindyandjana.com)
When I first started breastfeeding, holding a baby in football or cradle position while supporting the nipple was hard on my hands and wrists. (breastfeedingtoday-llli.org)
Secondly, baby's head is resting easily in the fabric near the surface, baby is not lost in the deep fabric of the typical cradle position. (attachmentparenting.org)