I also read the 1st batch of turkeys were traded into england directly from the american natives quite a long time ago and later turkey birds were from turk ships. I also read muslims didnt sail to americas until 1800s....

http://nowiknow.com/how-turkey-got-its-name/

"...William Shakespeare used the term in Twelfth Night, believed to be written in 1601 or 1602.."

Correct me if I were wrong, seems it predated slightly of english settlement in americas:

https://en.wikipedia.org/wiki/British_colonization_of_the_Americas#English_colonies_in_North_America