From Bagenalstown Records (Source: the Co. Carlow Genealogy Project):
Baptised March 20th, 1820:
James, Margaret, and Bridget Joyce (triplets)
Parents: Michael Joyce and Peggy Coogan
Sponsors: Matt Coogan and John McDonald.
Residence: Corries
There is also a record of the baptism of twin boys, Michael and Patrick Joyce, on Feb. 21, 1825. Parents: Michael Joyce and Margaret Coogan. Sponsors: Mary Byrne & Mary Walsh.  
Joyce family members listed as sponsors for Coogan baptisms include Daniel Joice (1830), Mary Joyce (1827), and William Joyce (1844).
Another difficult-to-read record seems to list the baptism of a son William to Michael and Margaret Coogan Joyce on May 20, 1822. Sponsor: Ellen Coogan. Residence: Corries
It may be this "Uncle" William Joyce who had died in the U.S. by the time Bridget Joyce wrote the  next letter, to her cousin William Coogan in Harlem, in 1880.
Margaret Coogan Joyce was most likely a sister of Mathew Coogan (1795-1860)  and the grandmother of  Bridget Joyce, who wrote this and the following letter and who was a "little child" in 1867.
In County Carlow also is this headstone inscription:
Erected by Daniel Joyce, Bagnalstown, in loving memory of his wife, Mary, who died 18th Sept. 1889 at 63 years.  And of their son William, who died young.  Here also lie the remains of his father and mother, Mr. Michael and Mrs.  Bridget Joyce, of Corries.  And here also rests the above Daniel Joyce, who died 24th Jan. 1897, in his 85th year.,  And his grandchild, Norah Mary Joyce, who died 28th Jan. 1898 at 7 yrs.  Also his daughter, Margaret Whelen, died 18th Aug. 1907 at 63 yrs.  His son Patrick Joyce died 9th Oct. 1914 at 65 yrs.