You would if you were covering up the fact that he is still alive. Hurley said it so matter of factly, "time to go" that it appeared that is planned to make a public showing of the fact.
If she wanted to keep it a secret that he is alive, she would have to make apparances at his grave. Taking the new baby there would throw people off the track.
I still want to believe, and this passes muster, makes the grade, I ran it up the flag pole and saluted, William of Ockham said upon reading, "Wow, we've a new standard with this here logic. Lets go grab a beer, I'm a bit thirsty with all this razorin' I've been doing."
