I'm no expert, however from what I know Queen Anne's War is just the "american" part of the War of the Spanish Succession, which started in 1701, where the forces loyal to Charles II fought against the ones of Philip V.

Portugal sided with Charles VI, which was also supported by England. In other hand Philip V was supported by French and the crown of Castille.

In 1703, Portugal and England signed the Methuen Treaty.

In 1704/05, they supported England (and the rest of the Grand Alliance) in the Borboun/French siege of Gibraltar, in 1705 conquered the city of Barcelona from the Borboun supporters.

In 1707, the Anglo-Portuguese (and also Dutchs) commanded by Henri de Massue (French commander of the English troops) and the portuguese (2nd) Marquis of Minas conquered the Madrid, spanish capital. In that same year the Grand Alliance (England, Portugal, Dutch Republic) would lose the Battle of Almansa.

In 1709, the Spanish troops would win the Battl of la Gudina near the frontier between Spain and Portugal.

In 1710, happens the Battle of Saragossa and the Battl of Villaviciosa, with a "victory" for both sides of the war.

However in 1711 Charles VI was proclaimed emperor of the Holy Roman Empire, fearing that such power (being emperor of HRE and also emperor of the Spanish Empire) could affect europe and the whole world, the British decided to retire their support for Charles VI.

Which lead to the Treaty of Utrecht in 1713, in which was recognized the soveranity of Portugal in the territory between the state of Amazonas (Brazil) and the municipality of Oyapock (Brazil) in the border with French Guyana. Later in 1715 they also recovered the Colónia do Sacramento (Uruguay) from Spain, since the war between Portugal and Spain only ceased in 1715.

Mainwhile in South America, the war that opposed Portuguese and French troops, lead French corsaries like Jean-François Duclerc and René Duguay to invade cities like Rio de Janeiro but without major problems.