Thanks for the information provided.
Delia's parents are my great-great grandparents and I have the information that they died in Ireland so she did not travel with her parents.
My grand uncle's shipping records on arrival in New York in 1923 state that he was going to visit his aunt, a Mrs E. Emperor at 264 Straight Avenue, Grand Rapids. I believe this is the address in the 1920 Census for Edward and Delia Emperor. Therefore I am concluding that since my great-grandmother was a King woman also, they are all the same family.
As the Irish, when emigrating were almost always going to a family member, I am hoping to find out who Delia went to visit when she emigrated in the hope of finding some yet unknown cousins I may have!