The answer is
My name is a dictionary word
Basic is an English word
Built on microcomputers
It was widely used on microcomputers in the 70s and 80s.
I'm general purpose
Can be used to write all kinds of programs.
My syntax is short, but easy
There are not too many keywords, and they are easy to learn.
I once was the "beginner" language
BASIC stands for Beginner's All-purpose Symbolic Instruction Code.
My GOTO is very popular
The GOTO statement is used in many other languages too.
Made in 1964-by Hampshians
Invented by Kemeny and Kurtz of Dartmouth College in New Hampshire.
I was very high-level
A high level programming language that abstracts you away from computer specific details.