co-mother vs co-parent

co-mother

noun
  • In a lesbian couple, the nonbirth mother (partner of the birth mother) of a child, especially one who takes an equal role in mothering the child. 

  • In polygamy, the relationship between one co-wife and another, in respect to their children. 

  • In polygamy, a wife of one's father who is not one's mother; that is, co-wife of one's mother. 

co-parent

noun
  • A parent in a same-sex couple. 

  • A godparent. 

  • A divorced or separated parent who shares custody with the other parent. 

  • Someone who shares in the parenting of a child or children, such as 

verb
  • To act as a co-parent; to share custody of a child or children; to share in the responsibility of parenting a child or children. 

How often have the words co-mother and co-parent occurred in a corpus of books? (source: Google Ngram Viewer )