Lectures on Faith teaches that the same "Lord God" who is the Father of Jesus is the God of Adam.
"Lecture Second. Of Faith," Doctrine and Covenants, 1835, 5-12, The Joseph Smith Papers website, accessed July 13, 2023
5 We shall now proceed to examine the situation of man at his first creation. Moses, the historian, has given us the following account of him in the first chapt. of the book of Genesis, beginning with the 20th verse, and closing with the 30th. We copy from the New Translation:
6 And the Lord God said unto the Only Begotten, who was with him from the beginning, Let us make man in our image, after our likeness: and it was done.
7 And the Lord God said, Let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creaps upon the earth.
8 So God created man in his own image, in the image of the Only Begotten created he him; male and female created he them. And God blessed them, and God said unto them, Be fruitful, and multiply, and replenish the earth, and subdue it: and have dominion over the fish of the sea, and over the fowl of the air, and over every living thing that moves upon the earth.
9 And the Lord God said unto man, Behold, I have given you every herb bearing seed, which is upon the face of all the earth, and every tree in the which is the fruit of a tree yielding seed; to you it shall be for meat.
10 Again, Genesis 2:15, 16, 17, 19, 20: And the Lord God took the man, and put him into the garden of Eden, to dress it and to keep it. And the Lord God commanded the man, saying, Of every tree of the garden you may freely eat: but of the tree of the knowledge of good and evil you shall not eat of it, neither shall you touch it; nevertheless, you may choose for yourself, for it is given unto you; but remember that I forbid it: for in the day that you eat thereof you shall surely die.
11 And out of the ground the Lord God formed every beast of the field, and every fowl of the air, and commanded that they should be brought unto Adam, to see what he would call them. * * * And whatever Adam called every living creature, that was the name thereof. And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field.
12 From the foregoing we learn man’s situation at his first creation; the knowledge with which he was endowed, and the high and exalted station in which he was placed—lord, or governor of all things on earth, and at the same time enjoying communion and intercourse with his Maker, without a vail to separate between. We shall next proceed to examine the account given of his fall, and of his being driven out of the garden of Eden, and from the presence of the Lord.