I am trying to find out what happened to the LONIE family who went to Lezayre in 1856 from Edinburgh, Scotland.

Charles & Catherine LONIE had the following children
Catherine chr 19 Oct 1856 at Lezayre
Ellen Tait chr 11 Apr 1858 at Lezayre
Charles Douglas chr 17 Jun 1860 at Lezayre
Janett Knox chr 26 Jan 1862 at Lezayre
David Scott chr 30 Oct 1864 at Lezayre
Catherine Alexander born 23 Oct 1867 at Newington, Edinburgh
Mary Pearson chr 24 Sep 1869 at Edinburgh
Charles chr 24 Sep 1871 at Lezayre
John Robert chr 2 Nov 1873 at Lezayre

Charles left his family & came to New Zealand to join his brother David (my gt,gt-grandfather) but died in NZ in 1882 before his family came out. I have found an entry for Catherine in an 1894 publication but don't know what happened to her or her children.