"My guys," she simply captioned it, adding brown heart emojis. Ryan also shared the image to his Instagram Story and wrote, "Those paws."
Ernie, an actor known for roles in such projects as The Dukes of Hazzard and for starring opposite Blake in The Sisterhood of the Traveling Pants, died on June 3 at age 74 from cardiac complications.
Among those sending support in the comments was Blake's sister Robyn Lively, who wrote, "Siiissss," along with heart, heartbroken and praise-hands emojis.
Also commenting was Traveling Pants co-star Amber Tamblyn, who shared, "I love your papa so much. Ryan's okay."
On Thursday, June 10, Blake posted a tender photo to her Instagram Story of herself resting her head on her dad's shoulder. At the time, she captioned it simply with a brown heart emoji.
For his part, Ryan discussed fatherhood earlier this month when he explained how the three children he shares with Blake—James, 6, Inez, 4, and Betty, 20 months—have helped him to feel more comfortable with publicly discussing his mental health struggles.
"Part of it is that I have three daughters at home, and part of my job as a parent is to model behaviors and model what it's like to be sad and model what it's like to be anxious, or angry," he told Entertainment Tonight. "That there's space for all these things."