I come from a family of right handed people and married two right-handed men who also came from right-handed stock. However, my 2nd son is ambidextrous and with the guitar he could switch back and forth with no preference. He was like me when young and was fluent in many languages and is now a chef. Switching back and forth from either side of the brain seems to be the ability with this sort of thing.
btw, I did a paper in college on being left handed and gravitating to right brain jobs. I was visiting the Navy Test Pilot School in Southern Maryland a lot for my job and on a visit to one of the classes I asked the professor how many of his students were left handed. He looked surprised but said that when they set up the classrooms each year, they finally realized they needed almost all left handed desks! Being a pilot was normally a course filled with right handed students but those who wanted to TEST those new airplanes were almost always left handed! At this point, they were all men so we wondered if that would be different as more women entered this field.
fwiw, almost any man I've known who was left handed - and I started checking after writing this paper - was also blue eyed. And no, not the reverse at all.