It’s never right to lie… unless you’re a writer. If you’re pulling your writing from real life, you mustn’t be bound too much by reality–e.g., just because someone said something that way doesn’t mean it’s a good way to say it. Just because it really happened doesn’t mean it’s interesting.
Furthermore, just because it happened in 1964 doesn’t mean you can’t set it in 1934–and vice versa. Of course, if it is something famous, like the Lindbergh baby kidnapping, you can’t move it around too much, unless you are writing sci-fi or magical realism. But if you have a story about a great uncle who was married five times (that the family knows about), there is no reason you can’t write about such a character in current time.
Similarly–with certain obvious exceptions–just because the actor was a male doesn’t mean you can’t attribute the action to a female. Ditto parents and grandparents, siblings and cousins.
Bottom line: Be flexible when it comes to reality.