The 28th we made _Deseada_, a small high Island, about a league in length and as much in breadth; it is full of Trees, but whether it affords Water or not I know not. It is uninhabited. Next morning we were betwixt _Antego_ and _Montserat_, belonging to the _English_, both pretty large and mountainous. _Antego_ is Peopled with _English_ for the most part, and _Montserat_ by a mixture of _English_ and _Irish_. Their Product is Sugar and Tobacco. We were in the afternoon close by _Redonda_, a small Rock about a mile long, inhabited only by Noddies and Boobies. When we were some leagues from _Redonda_, we saw at the same time _Antego_, _Montserat_, _Redonda_, _Nevis_, _St. Christophers_, and _Statia_. We sailed close by _Nevis_, it bearing North of us; it is a small well Peopled Island, its Product is Sugar. They twisted the Flag at the Harbour, and we shew'd them the Company's Colours. _St. Christophers_ is a large Island, ill Peopled, belongs half to the _English_, half to the _French_. Night parted us from these Islands, and next day, which was the 30th, we came in sight of _Santa Cruz_, belonging to the _Spaniards_. When we were within four leagues they held a Council. The _Unicorn_ and _Snow_ were sent to St. _Thomas_, a small Island belonging to the _Danes_; it is a free Port, and they say is well fortified. We went on to the Southward of the Island, and next Day, being _October 1._ we were about 12 a clock past the S. W. corner. It is very level towards the South. That Night we got a sight of _Crab Island_, and next Day _October 2._ we came into it, and sent some of our People ashore, and took possession of it in the Companies name. _October_ the 4th we stood to the Leeward, hearing there was a Harbour there; when we came we saw the _Danes_ Colours flying on the Shore, for the Governour of St. _Thomas_ had sent 14 Men and a Captain to take possession of it in the King of _Denmark_'s name. Our Councellors sent to know his Business there, and he told them this, but we found that we had taken possession of the Place before they came from St. _Thomas_. They gave in their Protest, yet seem'd to be glad enough of our Neighbourhood. We had notwithstanding our Flag upon the Shore all the while we stay'd, with 100 Men, and Captain _Melean_ Governour; they stayed till we were gone, but would certainly March next Day, otherwise the _Spaniards_ of _Porto Rico_ would not miss to take them off. The 6th, Captain _Pinkerton_ and the _Snow_ came in from St. _Thomas_, with old Captain _Alison_ along with them for a Pilot. On the 8th we left this place, and on the 17th made _Nostra Signiora della Popa_, we lay aside there along the Coast, until the 3d Day of _November_, generally losing by Night what we had gain'd all Day.