Is there any evidence that the Doctor's name was inspired by the Time Traveler's name from H.G. Well's The Time Machine? Both are time travelers who go by a title. Neither's real name is ever revealed.
No, because the character's "name" was originally going to be "Doctor Who." Ian and Barbara would have called him that regularly, since they didn't know his actual name (which was evidently not "Foreman"). However, the running gag was reduced one one reference in the second episode, and the writers just had him called "the doctor."