This isn't what total depravity is about. But we are born not having sinned, with a propensity toward sin, and under condemnation because Adam's sin has been credited to our account.
Eze 18:19 Yet say ye, Why? doth not the son bear the iniquity of the father? When the son hath done that which is lawful and right, and hath kept all my statutes, and hath done them, he shall surely live.
Eze 18:20 The soul that sinneth, it shall die. The son shall not bear the iniquity of the father, neither shall the father bear the iniquity of the son: the righteousness of the righteous shall be upon him, and the wickedness of the wicked shall be upon him.
No person is guilty for the sins of another person for every person will bear their own sin.
We are not responsible for the sin of Adam and Eve for that is their sin and it is not accredited to our account.
Adam and Eve were born knowing God.
When they ate of the forbidden tree they then had a choice between good and evil so all their offspring was born with a choice so we are born not knowing God so will do wrong before we acknowledge the truth.
So all people have sinned and come short of the glory of God.
Mat 18:10 Take heed that ye despise not one of these little ones; for I say unto you, That in heaven their angels do always behold the face of my Father which is in heaven.
We are born with no sin on our record until we sin later on which all people will do because we are born not knowing God.