There are 2 families of Lymburners that we are aware of that went to Canada. The Mathew and John you have been referring to, but also John bn 1736 Kilmarnock, Sct (died at sea 1772), Adam bn 1747 died London, UK 1836 and Mathew bn 1757 died Edinburgh, Sct 1842.
Their parents were John Lymburner and Agnes Dickie of Kilmarnock, Scotland.
My ancestry is through Agnes bn 1733 who married Mathew Crawford. Their eldest son John joined Adam and Mathew in Quebec, to help run their fur and seal trading business.
John Crawford m Deborah Cox Quebec, Canada m 1795 i.Mathew Lymburner Crawford *ii. Deborah Crawford b 1797 iii. John Lymburner Crawford iv. Agnes Dickie Crawford v. William Nicholas Crawford
The children were orphaned in 1803 with the death of both parents several months apart.
Deborah m Alexander Delisser, London UK 1823 * i. Adam Lymburn Delisser b 1823 ii. Ellis William Delisser iii. Agnes Isabella Elizabeth Delisser iv. Edmund Alexander Delisser v. Adelaide Anna Delisser vi. Alfred Delisser vii. Elizabeth Dora Delisser
* Adam was requested by the will of Adam Lymburner (bn 1747 Kilmarnock) to change his name to Lymburner. He arrived in Australia with his wife and eldest daughter 1848.
Please Note: All research has been proven using original sources with the help of Brenda Young, Canada and Alix Howatt, US.