I do not have the exact match, but have some information that may help you. I show Esther's father as:
John Lough 1750-1816 sp: Jane Hart 1752-1820
Esther Lough (5th child of 8)
As for the Lynch/Linch, I have the following:
John Linch sp: unknown
William Linch(Lynch) 1781-1859 sp: Easter(Esther)Lough 1795-1861
Phillip P. Lynch b: 1916 sp: Lidia Johnson 1820-1898
James Wilton Lynch 1846-1927 sp: Sarah Jane Alton 1862-1902
I do not show a Patrick Linch. I would welcome any corrections or additional information on the Lynch/Linch surname.
I do have more details of those listed under Lynch/Linch and much info on the Lough descendants.
Hopefully this will help you.
Thank you...Jim B