Viscount Ranelagh

He was made Baron Jones of Navan, in the County of Meath, at the same time also in the Peerage of Ireland.

Arthur was succeeded by his son, Richard, the third Viscount, who was created Earl of Ranelagh in the Peerage of Ireland in 1677.

On Richard's death in 1712 the earldom became extinct while the barony and viscountcy became dormant.

They remained dormant until 1759 when Charles Wilkinson Jones successfully claimed the titles and became the fourth Viscount.

Alexander Montgomery Jones, younger son of the fourth Viscount, was a vice-admiral in the Royal Navy.