Lawrence was born in Ireland in 1812 and moved to Cardiff with his wife, Ellen Dorman/Doran/Dearan/Davern, in circa 1836. They had 5 sons and 3 daughters. The civil records had 1 birth recorded as Hade and 2 as Hayd. The rest were recorded as Hayde.
According to a relative, Lawrence was a groom on an estate and Ellen was apparently the daughter of the house. It appears that they eloped together. This probably explained why they ended up in Cardiff. Lord Bute was recruiting labourers at the time to help build the wharves in Cardiff. It appears that he continued to work with horses in Cardiff.
In the 1800s they lived in central Cardiff in what is now Barrack Lane plus Mary Anne Street and John Street.
Two sons had families in Wales. Descendants are mainly in Wales.
Lawrence is not a common name in the Hayde family. It was used in 1782 in Wicklow and Tipperary in 1830s.
I have searched for Doran/Dorman/Dearan/Davern families in Ireland and have found a Doran family in Boula, Ballingarry that lived not far from a Lawrence Hayde in the 1850s. I believe that this is the most likely origin of Lawrence and Ellen.
A grandson, John Lawrence, served as a stoker in the Royal Naval Reserve Force on HMS Coleen from 1914-1919. Another grandson, Thomas, was killed during WW1.
The family tree is:
The UK census records containing more details on this family are:
The Family Posts page for Ballingarry covers more detail around other descendants from Ballingarry.