News Channel 3 discovered the couple was staying at Martha's Village in Indio.
Indio police detectives said they don't know where the child was hurt.
News Channel 3 spoke with other residents staying at Martha Village's are heartbroken by the news.
“It makes me extremely nauseous because I am a mother myself and my kids are my life," said Kaleigh Eckert. "It's very emotional inside right now everybody’s crying and nobody can eat. Its an awful thing.”
Kaleigh Eckert lives at Martha's Village and Kitchen. She said she had only seen this couple now accused of killing their baby but never interacted with them.
“They were really always quiet and they were up really late at night and always had their kids with them they always had the baby covered up," said Eckert.
Eckert said Zue Itzayana Flores Urias, the mother, always baby covered in a blue blanket. She also saw four other children.
“Never really heard them talk or anything. They sat with their kids and their kids were really well behaved and then now this," said Eckert.
Miguel Medina, who lived seven rooms down from the family, said he would hear the father, Leonardo Daniel Fernandez Alvarado, talking to his kids.
“ Would tell them to hurry up and to go upstairs, I don’t know for what," said Medina.
According to Indio Police, parents of the child rushed to J.F.K Memorial hospital Thursday morning where detectives questioned the parents and determined the death was suspicious.
Detectives said their 3 month old infant suffered fatal injuries consistent with blunt force trauma and physical abuse.
“Where the injuries occured to the child we are still focusing on all we know that when the child was brought to the hospital with traumatic injuries and things didn’t add up," said Ben Guitron, Public Information Officer Indio Police.
The couple now charged with first degree murder and several other related charges.
“Just makes me think twice now with myself and everything in life just makes me look at life way different you don’t know who the person next you are," said Medina.
There's no official comment from Martha's Village at this point.
A spokesperson from the Indio police station said the couple's other children are in protective custody.