First Presidency teaches that Adam and Eve were created by God and were collectively given the name "Adam."
An epistle of the First Presidency : to the Church of Jesus Christ of Latter-day Saints, in general conference assembled (Deseret News Company Press, 1886), 16, M204.1 F527e 1886b Apr, Church History Library
Speaking of the sexes, the same God who created Adam, created Eve, “male and female created He them; and blessed them and called their name Adam.” Who are women? The mothers of the whole human family. They were all born of women, who were created and prepared as companions and helpmeets for man. To Eve God gave another seed in the place of Abel. “For God said, He hath appointed me another seed instead of Abel whom Cain slew.” Who made this appointment? God. From whom came kings, emperors, prophets, seers and revelators? They came through women who were often Prophets themselves, and who were frequently ministered to by angels. Jesus was born of a woman; they were His companions on earth, were with Him at His death, and were first at His sepulcher, and will be His and His saints’ companions in heaven.