Pharaoh's Island on the River Thames was awarded to Admiral Nelson after which battle?

Pharaoh's Island is an island in the River Thames, in Surrey, England, 270 m (300 yds) upstream of Shepperton Lock. The island has a length of 280 m and a maximum width of 60 m. It was purchased by the Treasury to give to Admiral Nelson after the Battle of the Nile (1798). He used it as a fishing retreat.

The Battle of the Nile was a major naval battle fought between the British Royal Navy and the Navy of the French Republic at Aboukir Bay on the Mediterranean coast off the Nile Delta of Egypt from the 1st to the 3rd of August 1798. The battle was the climax of a naval campaign that had raged across the Mediterranean during the previous three months, as a large French convoy sailed from Toulon to Alexandria carrying an expeditionary force under General Napoleon Bonaparte. The British fleet was led in the battle by Rear-Admiral Sir Horatio Nelson; they decisively defeated the French under Vice-Admiral François-Paul Brueys d'Aigalliers.