Members of the public have been told that they can report any possible transcription issues in relation to the 1926 Census through the 'Contact Us' form on the National Archives website.
In a statement, the Department of Culture, Communications and Sport said many had already done so, since the 1926 Census, the first conducted after the country's independence, went live.
"We appreciate these notifications, as they are helpful in identifying entries where handwriting, spelling variations, or other factors may have led to uncertainty during transcription," the statement said.
This issue discussed on RTÉ's Liveline programme.
Listeners reported anomalies including the name Hanbidge from West Wicklow being recorded as Hanbridge with an additional 'r'.
The host Kieran Cuddihy also said a relative of his, who he was named after, was recorded as a Garán Ó Cuidighthigh instead of Ciarán or Kieran.
The surname Soye was also described as being recorded as Sordhe by one listener, who said the handwriting was difficult to read on the original form in which other details had been recorded as Gaeilge.
Another listener reported the name Eileen being recorded as Coleen in an entry from North Kerry, whilst another said the ages of their grandparents had been incorrectly listed, with years between them.
The Department said it was important to note that the spellings recorded on the original 1926 Census forms could not be altered.
"These reflect how names were written by the householder or enumerator on census night, and they form part of the authentic historical record. However, where a transcription error has occurred in the digital version, we can and will correct it," it said.
It said the National Archives was carrying out a structured programme of updates to the 1926 Census dataset.
"All notifications we receive are logged and reviewed and confirmed transcription corrections will be incorporated into the next scheduled update of the database.
"This phased approach ensures that improvements are applied consistently across the entire collection. To keep this work moving efficiently, we are not able to respond individually to each correction submitted, but every notification is recorded and assessed," it said.
The Department said some users have also noticed green marks, numbers and annotations on the coloured PDFs of the digitised forms.
It says these are not modern additions: "They were added in 1926 by the Statistics Branch of the Department of Industry and Commerce, which was responsible for collating the census data.
"In many cases, these historical annotations overlap with the information filled in, especially the numerical field, and we are currently working to resolve any issues this has caused in the transcription."
It says the scale of the project is significant, with the 1926 Census containing over 35 million individual data points relating to approximately three million people.
The manual checking of forms has been carried out by a large team within the National Archives.
Further information about the 1926 Census, including guidance on searching the records and answers to frequently asked questions, is available on the National Archives website.