Hello Elizabeth-

Looks like they were living in Chicago at the time of their deaths. Perhaps you can get a lead on their descendants from their obits. They were published in the Chicago Tribune.

1954-04-21
Joseph Grieve, husband of Rose E., nee Burke; father of Margaret. Resting in funeral home, 79th street and Phillips avenue. Funeral Thursday, 9 a.m., from chapel, to St. Bride's church. Mass 9:30 a.m. Interment St. Mary's cemetery. SOuth Shore 8-6959. Please omit flowers.

1960-08-12
Rose Burke Grieve, Aug. 11, beloved wife of the late Joseph; devoted mother of Margaret. Funeral Saturday, 9 a.m., from funeral home, Jeffery boulevard at 77th street, to St. Bride's church. Mass 9:30 a.m. Interment St. Mary's. Please omit flowers. SOuth Shore 8-8822.

Tried to find something on Daughter Margaret...not much luck. It would appear from the obits she was living and was not married at the time of her parents' deaths. Do you have any info on her?
I did find the following in the SSDI. MIGHT be her if she never married...

Margaret M. Grieve
DOB: 25 Dec 1904
DOD: 15 Dec 1993
Last Residence: Chicago
SS#: 343-38-5530
Issued in Illinois

Paul