Hi:
I'm in the U.S., a cousin, and can help. I just learned of Abel and I would like to get the names of his children.
His father, as you know, was Hadford or Hanford (maybe "Handford" is correct). His probable parents were William Dickinson (b. 28 Dec. 1782 Canaan, NY, d. 15 Oct. 1868 Augusta Township, Washtenaw County, Michigan) and Phebe ---- (b. 25 Dec. 1787 NY, d. 13 Aug. 1880 Augusta Twp., Washtenaw Co., MI). William was in the Town of Murray, Orleans County, NY, as early as 1810 and was the only Dickinson in the area, so I assume they were Hadford's parents. There is a William Handford Dickinson born in NZ to Abel and Elizabeth in 1869.
My ancestor was Hezekiah Dickinson (1778-1853), brother of William. William's nephews, the Pratt brothers (Parley Pratt, Orson Pratt, etc.) were early Mormon leaders and polygamists, so there are thousands of descendants, and lots of info online. But beware----much is incorrect. I'm one of the few who has been actively researching this for years.
The immigrant ancestor was Charles Dickinson (c.1658-1740), who settled in Rhode Island in the 1690s. Contact me for more details.
Paul Gifford