Atlantic Islands

What if Some of sea mounts and sea ridges in the Atlantic Ocean were a bit higher so that there were a lot more islands between the Old World and the New World?

The Ampere Islands were known in ancient times and were settled by Portuguese fishermen in the 10th century.
 * Timeline:

12th Century
 * The Greater Azores were discovered by Basque fishermen and soon hosted small settlements from Portugal and France.

13th Century
 * Basques discovered the Corner Islands in the early 13th century and tried to keep their existence a secret. By the end of the century they also discovered the Greater Bermuda Islands, Kelvin Islands, and the North America.

14th Century
 * The existence of the islands and of the new world became common knowledge in Europe and North Africa. Semi-permanent settlements were established in Bermuda and New England.

Open to any suggestions for events or timing.