Originally, on 24 March 1744, the title was granted to him as Marquis of Castelo Novo but, due to his victories in India, it was changed, in 1748, to Marquis of Alorna, a town in Portuguese India.
The House of Alorna was later inherited by the Marquesses of Fronteira, once the last Marchioness of this line, Leonor Benedita Maria de Oyenhausen de Almeida (1776–1850), married João José Luis Mascarenhas Barreto (1778–1806), 6th Marquis of Fronteira.
List of the Marquesses of Alorna
Pedro Miguel de Almeida Portugal e Vasconcelos (1688–1756), also 3rd Count of Assumar and 1st Marquis of Castelo Novo;
João de Almeida Portugal (1726–1802), his son, 4th Count of Assumar
Leonor Benedita Maria de Oyenhausen de Almeida (1776–1850), their daughter, 9th Countess of Assumar and Countess of Oyenhausen (in Austria). Married, on 10 November 1799, to João José Luis Mascarenhas Barreto (1778–1806), 6th Marquis of Fronteira.