Career
A Dublin-based barrister with an address in Rutland Square (now Parnell Square), Meldon was a Queen"s Counsel and a Justice of the Peace for counties Dublin, Kildare, Meath, and Westmeath. He was first elected to Parliament at the 1874 general election, as a Home Rule League candidate, when he defeated the sitting Liberal Member of Parliament Lord Otho Fitzgerald. He was re-elected as a Home Ruler in 1880, and joined the new Irish Parliamentary Party (IPP) when it was created in 1882.
When the Kildare constituency was divided at the 1885 general election, he did not stand for re-election.