Regarding the Roe v Wade case (please try to leave your opinions about abortion aside).
It is well known that Norma McCorvey ("Roe") lied about having been raped. It is also seems clear to me that the case verdict does not touch upon the issue (rape). What is less clear to me is whether the alleged rape was used in the arguments of the case, and to which amount one can suppose to have influenced the result.
For example, these two quotes from the lawyer (quotes not exceedingly reliable I'd say) seem conflicting:
“I never touched the issue of rape and only emphasized the question of whether the Constitution gives to the state or leaves to a woman the questions of what she can or must do with her body.” (ref)
"My behavior may not have been totally ethical, But I did it for what I thought were the right reasons."(ref)
The later has been quoted as implying that she was referring to the rape allegation, though the context does not help much.