My Child were beautiful dolls made in the 1980's by Mattel. These dolls were made of a felt type material over a plastic face and had a stuffed felt body and limbs. They tried to compete against Cabbage Patch dolls but unfortunately failed. The US My Child dolls have a green "My Child" heart on their bottoms. The UK/Australia dolls don't but they have longer hair and peachy coloured skin.
I bought my daughter a doll in 1986 which she still has, now we both collect them. We have approximately 130!