It is understood they were all laid to rest next to each other.
So far the remains of 11 tots have been removed for forensic examination but it is believed more were found in recent weeks and details of these will be made public next month.
There was no evidence that any of the children found were murdered and gardai have not been asked to get involved.
Daniel MacSweeney, who leads the Office of the Director of Authorised Intervention, Tuam, is closely examining the remains.
Historian Catherine Corless, who discovered 798 children were buried in unmarked graves on the site, is pleased with the way the excavation is progressing.
Ms Corless said it has taken almost two years to secure the whole site and surrounding areas as it was feared the middle of the area to be excavated might cave in. The team has had to seal off some part of the surrounding house gardens.
She said: "The excavation team is doing amazing work.
"So far 11 bodies have been recovered but I understand more have been found.
"I am more than hopeful that each and every one of those children who were dumped here will eventually be found and hopefully identified.
"All I wanted from day one was for the truth to come out and to establish, if we can, how these infants all died at this Mother and Baby Home.
"My aim all along was to find out what happened and to get them all taken out of the ground.
"Some of the first babies found were under the path that ran into the Memorial Park and they were all found beside each other.
"I suspect most of the remains are in the septic tank which is at the far end of the site. The excavators are going bit by bit.
"The tank was not in use at the time all these children died so it was the perfect place to try to conceal the deaths of all these children.
"My understanding is as soon as evidence of a criminal act emerges then gardai will be notified and asked to get involved.
"This will be a matter for Mr MacSweeney and his team."
The spokesperson for the Tuam Victim Group Anna Corrigan is adamant that criminal activities occurred at the Mother and Baby Home and the Gardai at some stage need to get involved.
She had two brothers William and Daniel who were born in the home. Daniel’s death from measles was recorded in 1947 and "congenital idiot" callously noted in his death certificate.
William is listed as having died four years later in the Bon Secours Nuns discharge register but no death certificate has ever been found. Anna reported him as missing but she is still waiting to get an investigation number from the Garda Pulse system. She doesn’t know if William is dead or alive or was sold by the nuns for adoption in America, which happened to so many other Tuam babies.
Anna said: "I am now 70 and in a race against time to get the answers I need. I have given my DNA to the ODAIT but they have so far not taken DNA samples from all the families of the victims that we know about.
"The recovery of the bodies will shine a very small light on a very dark tunnel.
"What we really need is all the relevant remaining documents from the Bon Secours and Galway County Council on the case that have not been released, to be made public. I also believe that the Gardai need to undertake a full criminal investigation into what happened at Tuam." In the 1930s and 40s, Anna said babies were sold to the USA for sums said to be equivalent to €10million per child in today’s money.
She still has people turning up, contacting her from America who, after their parents' deaths, discover they were adopted and born in Tuam.
They recently had one man who arrived from the States with all the papers who had been sold as an infant and never knew he was a Tuam baby.
It turned out from letters he read the name of another child, a girl, was first put up for adoption to his American parents instead of him .
Anna said when he went to a meeting of the victims the other baby mentioned was actually another woman present in the room at the meeting.
She added: "We just all want to get the answers we need, and I want to know what happened to my two brothers."