Jesse Lirola/BFAnyc/Sipa USA
04/07/2014 at 12:00 PM EDT
's grandmother has died, according to an obituary in a Florida newspaper.
Dorothy W. Paltrow died March 31, the Palm Beach Post reports
. The mother of late director Bruce Paltrow
, Gwyneth's father, she originally lived in Great Neck, N.Y., before relocating to Palm Beach, Fla. She is survived
by two children, five grandchildren and 10 great-grandchildren. The family will hold a private memorial service, according to the paper.
It has been a difficult few weeks for Gwyneth, who announced her separation
– a "conscious uncoupling" – from Coldplay rocker Chris Martin
on March 24. The two A-listers have been married for 10 years and are parents to daughter Apple, 9½, and son Moses, 8.