Hello Lou, It is something which I have wondered about. I have tried to find sailings from Ireland which might include their names but have found none so far. A lot of them just state Miss or Mr Leeson.
The first child of James and Jemima was Abram b 2 May 1799, of Ireland. d. 20 Aug 1845, Henry Co; Indiana.
No. 2 child was Richard b Apr 1802, of Ireland.
3rd child was May b 21 Oct 1804, of Ireland [of Irish parents]4th -- Elizabeth b 13 Feb 1810 West Virginia. Have found nothing further about these 4.5th -Nancy b 13 Feb 1810 West Virginia d. 9 Jun 1864, Howard Co, Indiana m. Nathan Canaday. [He was put out of the Quaker Church as Nancy was not a member. Have found him as an original member of the Hillsboro Chuch of Christ on the Little Blue River , Hillsboro, Prairie Twp; Henry Co; Indiana. Nancy's sisters Jemima and Rachael are also listed as members. [Which would show that the family were protestants]Known as Scotch Irish the family of Leeson came fromHampshire, England before living in Leinster Co;Ireland. There are descendant's pictures of Nancy andNathan 1899 on web under Lewis publishing Co.
6th child was William[my Ancester] b 3 May 1812 W. Virginia d. 9 Jun 1864 Hillsboro, Henry Co; Indiana.m. Susanna Marshall d. of Samuel Marshall and Susanna Harvey.
7th was Pheobe b 30 Oct 1814, W.Virginia m. Levi Carter 18 Feb 1834 Henry Co;
8th child was Jane b 24 Dec 1816 W.V. m. Shadrick Koons 18 Feb 1838 [Shadrack Koons]
9th child was Anna b. 21 Sep 1819 W.V. d. 7 May 1845 Henry Co; at 25yrs old;
10th - Rachel b 2 Mar 1822 W.V. 11TH -- Jemima b. 21 May 1825 W.V.d. 1846 Henry Co; Indiana [21yrs] m Joseph Elder 12 Apr. 1846 Henry Co. Indiana There are Probate docketts for Anna and Jemima in Indiana dated 1822 - 1844; 1846.
Do any of these names fit in your tree? I have completed my tree and could send a copy. I live so near to Dublin[Ross shire, Scotland] and would love to visit to find out more about the family but am no longer able. Will maybe find out more about James's brothers on the Irish web. Norma