Roosevelt was married twice, and his first wife, Alice Hathaway Lee, died in 1884, so it's not her. But his second wife, Edith Carow, died in 1948, at age 87. So unless Lorant interviewed her posthumously, via seance, it can't be her, either.
Our best hope of rescuing this anecdote is to assume that Lorant's research happened earlier (1940s?) while Edith Carow Roosevelt was still alive. But she would have been just three years old at the time of Lincoln's funeral, and while her family and the Roosevelt's family socialized together, even her quoted reminiscence is less than definitive about whether that's actually TR.
Possible? Sure. Probable? Maybe. 100% verified? No way.
From what's presented to us, this sounds like a cool legend