The naturalization records for Robert David Burrell say he is a chauffeur born in Derryadd 6-19-1887. He emigrated in 1908 (says 1906 elsewhere) on the Calendonia and had wife Minnie and children Gladys b 4-13-1917 and Thomas b 11-25-1920. One of his references is William T. Burrell, a policeman living at 319 11th Ave NYC.
Robert D. had daughter Muriel in about 1928.
WWII registration has Robert David born 9-16-1887 and working for the Knockerbocker Ice Co. He lived at E. 83rd with daughter Gladys.
In 1910 Edward and Matilda have son John and Edward and brothers John and Robert are living with him while they work for an ice company. Edward might own the company, but at least he is working for an ice business in 1920 and owns a company in 1910. Son John is with the family in 1925, but not in 1930.
I thought Edward's son John might have married Helen from Vermont, but probably Peter Burrell's son John married her. Peter is from Ireland, so the census won't prove anything and I did not look for a connection to your family.
William T. and Matilda Burrell live in the Queens, NYC in 1920 and had son William J. In 1942, son William registered for the war as a warrant officer with 4 years of college experience and was not married.
In your tree Robert David and David are very similar just as Alexander and James Alexander, Jr. sound almost alike. Probably they are the same people.
Matilda Hickland is in the 1901 Armagh census, daughter of John Hickland and Elizabeth Rock. She was not listed on your family tree, but the census Lily Simpson, granddau of John and Elizabeth, is undoubtedly the daughter of your tree's Annie and William George Simpson. John Hickland is then a brother to your James.
I can't find a birth or marriage location for Thomas Burrell b 1841 near Lurgan. He died in 1901 in Drumnakelly and also has a son David. Just curious. Thomas's children emigrated to work with my relatives in NY. There is a distant link through the Gilpin, Dilworth, Hart connections.