Andropov wrote back. In his letter, he invited her to visit the USSR.
So, in July of 1983, Samantha and her parents spent two weeks visiting Russia. The trip was widely publicized in both countries.
Just two years later, Samantha was killed (along with her father) in a plane crash in her home state of Maine.
Several months after the crash, Moscow newspaper Trud reported that a baby girl born in Petrozavodsk, the capital of Karelia, had been named Samantha — “a name virtually unknown for Soviet girls” — in honor of Samantha Smith.
Source: “Soviet Baby Named for Samantha Smith.” Gadsden Times 13 Jan. 1986: C2.