Normally, I would agree with you. However, Gen 2 clearly shows Adam being created earlier:
Genesis 2:4These are the generations of the heavens and of the earth when they were created, in the day that the LORD God made the earth and the heavens,
5And every plant of the field before it was in the earth, and every herb of the field before it grew: for the LORD God had not caused it to rain upon the earth, and there was not a man to till the ground.
6But there went up a mist from the earth, and watered the whole face of the ground.
7And the LORD God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul. 8And the LORD God planted a garden eastward in Eden; and there he put the man whom he had formed.
Before!
Genesis 1:11And God said, Let the earth bring forth grass, the herb yielding seed, and the fruit tree yielding fruit after his kind, whose seed is in itself, upon the earth: and it was so.
12And the earth brought forth grass, and herb yielding seed after his kind, and the tree yielding fruit, whose seed was in itself, after his kind: and God saw that it was good.
13And the evening and the morning were the third day.
Thus, before the third day. Basically, the second day. This is what the two chapters of Genesis show us about when Adam was created.
Now, Eve, on the other hand:
Genesis 2:18And the LORD God said, It is not good that the man should be alone; I will make him an help meet for him.
19And out of the ground the LORD God formed every beast of the field, and every fowl of the air; and brought them unto Adam to see what he would call them: and whatsoever Adam called every living creature, that was the name thereof.
20And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field; but for Adam there was not found an help meet for him.
21And the LORD God caused a deep sleep to fall upon Adam, and he slept: and he took one of his ribs, and closed up the flesh instead thereof;
22And the rib, which the LORD God had taken from man, made he a woman, and brought her unto the man.
So, this is AFTER the cattle, the foul, the plants, etc. This is day 6.
99.999999% of the time, I would defer to your higher biblical knowledge. However, this is very clear.