Eugenia Flores told CBC News she was in her 19th Street home on Friday with her two-month-old daughter, Lindsai, when the incident happened at around 1 p.m. CT.
Flores said she was in the kitchen cooking while Lindsai was sleeping in a rocker by the front door, which was left open because it was a very hot day.
Within minutes, she saw an unknown man standing in the living room, holding the baby.
"I saw a shadow coming from the room, and that's when I saw a man," Flores, speaking in Spanish, said in an interview Tuesday.
Flores said she screamed, and the man ran outside the house with Lindsai in his arms, but he put the baby down in the front yard before he took off.
Suspect not found
The infant was not harmed, but Flores said the incident has left her scared for her safety because the suspect has not been tracked down.
Brandon police say they are looking for the man, who they believe may have been intoxicated at the time.
It is unclear what the man's intentions might have been, but Flores's 15-year-old son, Valdo Flores, said he hopes it was not an attempted kidnapping.
"Something like that, I think you just see it in my country. But in Canada, it's an impossibility," said Valdo, whose family came to Canada from El Salvador.
Valdo said his father had to report the incident to police because his mother speaks very little English.
The suspect is described as tall and skinny, with a possible tattoo on one of his arms.