The hospital said Sunday that Duke Suddarth remains in the intensive care unit.
His mother, 25-year-old Amanda Skorjanc, is in satisfactory condition at the hospital.
Three men rescued from the March 22 slide also are at the hospital. A 37-year-old is in serious condition in intensive care. An 81-year-old in serious condition in intensive care. And a 58-year-old is in satisfactory condition.
The family of the mother and baby released a statement through the hospital, saying "We are so grateful to all the responders who jeopardized their safety in order to pull Duke and Amanda out of the debris. Words alone cannot tell you how thankful we are. Our hearts and support continue to go out to everyone who has been affected by this tragedy."