The Time Traveller's name is never given. Apparently the narrator wants to protect his identity. The Time Traveller is an inventor. He likes to speculate on the future and the underlying structures of what he observes. His house is in Richmond, a suburb of London.
The narrator, Mr. Hillyer, is the Time Traveller's dinner guest. His curiosity is enough to make him return to investigate the morning after the first time travel.
Weena is one of the Eloi. Although the Time Traveller reports that it is difficult to distinguish gender among the Eloi, he seems quite sure that Weena is female. He easily saves her from being washed down the river, and she eagerly becomes his friend. Her behavior toward him is not unlike that of a pet or small child.