Jo, you reference to Lambert Deakers made me look over records on Roots Ireland, there was or possibly is a thing were if the marriage was between two improtant families or maybe the wifes family was important or higher ranked so to speak the wifes surname was included, so at one point a Lambert married a Deaker, I have found a marriage of a Lambert Daker (assume transcription error in Laois (then Queens County) on 24 September 1824 a Lambert Daker married an Elizabeth Campion in Aghaboe parish they were Roman Catholic aesses nd his address is Borris and the 2 witnesses are John & Mary Campion.
I searched a bit more and was surprised to find another marriage in 1794 on the 4th July again an RC marriage in Aghaboe in Laois (say leash) and Honor Bruder is the bride, think Bruder is probably Broderick now but that is just that in another life I went out with a Broderick lady and she always told me she was of the Bruder clan. It is unusual to find Irish Catholic records at that remove as the penal laws were about. The witnesses were Kyran Gorman and Michael Phelan.
Civil parishes and townlands are here https://www.townlands.ie/ and if you are locked down and need to drive yourself mad the parish records are here and you can search under year and month and then try to read, https://registers.nli.ie/parishes/0966
The surname is so unusual that this shoud be the same family, you could try writing or mailing the library in Portlaois, I know they are closed currently but may be working remotely, also there is probably a private Facebook page for Laois genealogy, there appears to be one for every county but while well managed the information can be limited.
I see one baptism in 1798 of a John Dakers to John Dakers and Catherine Drennan in the same parish, no other baptisms turn up under Dakers address is Rathandrick. I was see 3 Lambert births between in neighouring Offaly but it means little as there are others in neighbouring counties.
Good Luck
Pat