Is 中文亲属名称 the correct translation for "Family member names in Chinese"(i.e. as in regard to one's family tree)?
In Chinese, understanding the context is the important part. Family Members can means direct family members which means 亲属 or 家属, or including all the relatives (亲戚 or 家眷), but since you are referring to the context of family tree, 家族成员 should be used.