A montage assembled from old family videos, posted by the mum-of-six and her elder sibling, has appeared on YouTube showing the trio on holiday in Hawaii in 1981.
In the short clip, Marcheline – who was married to Angelina's actor father Jon Voight from 1971 until 1980 – is seen playing with her children on the beach.
One shot shows her teaching a six-year-old Angelina how to hula down by the waves, and later she is seen larking around in a hotel room.
The composition, which is set to a rendition of Somewhere over the Rainbow, begins with the message: "One place Marcheline loved was Hawaii. She made such happy memories for her family there."
It closes with the words: "We miss you Mom, With love Angelina and James. January 27 2010. 1950-2007."
Marcheline – whose famous daughter bears an uncanny resemblance to her mother – passed away after a battle with ovarian cancer.
And in 2008, Brad Pitt and his beautiful partner, 34, named one of their biological twins in her honour.