“People were saying that a baby girl from the fifth floor had gone down the chute.
“It’s strange because I don’t remember seeing anyone pregnant or carrying a young child around.
“It’s a real shock to have something like that happen around here; I don’t know who could do that to a baby. I just hope she’s going to be all right.”
Martin McManus, 54, said he believed the couple were from Iraq.
“A heavily pregnant woman and her boyfriend got in the lift with me last week,” he said.
“They were Middle-Eastern, possibly Iraqi, both looked quite smart and in their thirties. That’s the only person I can think of that I’ve seen here recently that has had a very young child or been pregnant.
“All the rubbish chutes are still blocked up and detectives have been back and forth.”
West Midlands Police confirmed officers were “investigating the possibility” that the baby girl had fallen down a rubbish chute.
Frederick Morton, 66, who lives on the fourth floor, said: “This is a quiet area. The first I heard about it was Saturday night when I went to put some rubbish in the chute and it was all blocked off.
“I was told on Saturday night that one of my neighbours saw a police man carrying a baby in a way that suggested it was seriously ill.
“I’m absolutely gobsmacked.”
Last night, the force was granted another 24 hours to question the man and woman.
Detective Inspector John Smith, from the force Public Protection Unit, said: “We are making a number of enquiries to establish how this young baby has come to sustain her injuries, and how she came to be found in the refuse area of the flats.
“The two people who have been arrested are related to the baby and we are currently not seeking anyone else as part of our enquiries.
“We urge anyone who has information to help our investigation to come forward at the earliest opportunity.”