Joseph Lambe's mother was Julia Carolan, oldest daughter of John J. Carolan and Mary Farrelly, of Lisagoan. Julia was the sister of my grandmother, Anna Carolan. Joseph was the youngest of 10 children. Children were:
Elizabeth (Lizzie), emmigrated to US, married John Griffin;
Mary, emmigrated to US, returned to Cavan and married
John Clark;
Anne, married Peter Halpin;
Owen, last located in Cavan in 1930s;
John Peter, emmigrated to US;
Michael, emmigrate to US, married Lillian (?);
Ellen, emmigrated to US, married Peter Mallon;
Margaret (Maggie), emmigrated to US, married Hugh Carolan;;Rosetta, emmigrated to US.
Joseph, last located in Cavan 7-8-1939.
Julia Carolan was the oldest of 6 children born to John and Mary Farrelly. John was married twice, secondly to Anne Byrne, with 5 children of this marriage. Children are:
Julia, married John Lambe;
Patrick, married Bridget Callaghan, stayed in Cavan;
Anne, emmigrated to US, married John Tuite (Cuite) of
Cavan;
Michael;
John Joseph, emmigrated to US, married Mary Walsh, widow
of Owen Edward below);
Thomas;
Eugene.
Ellen, emmigrated to US, married Robert Garland;
Owen Edward, emmigrated to US, married Mary Walsh;
James;
Mary, married William Kindelan/Kinlen, stayed in Cavan.
Look forward to exchanging information. Assuming from your post that Joseph was your grandfather, we would be second cousins once removed.