Baron Conyngham is in Baron Ireland.
In 1753 Henry Conyngham 1st Earl Conyngham [aged 48] was created 1st Baron Conyngham.
On 3rd April 1781 Henry Conyngham 1st Earl Conyngham [aged 76] died without issue. Earl Conyngham and Baron Conyngham extinct. His nephew Francis [aged 56] succeeded Baron Conyngham. On Francis Burton aka Conyngham 2nd Baron Conyngham adopted the surname Conyngham by Royal License.