He could have just embroidered
Ida.
And your name could well be a form of
Catherine - the Danish version of
Catherine (or of course
Katharine) is
Karen. They pronounce it more or less KAH-ren, but it's often said as if it rhymed with
Sharon (SHA-rin, not sha-RON like the politician). And sometimes also KAY-rin or KERR-in.