Countess Danners son was put of for adoption and spend his life in England running a large estate. He only met his mother after Frederik VII's death, and then only abroad. Rumor has it that the first Danish constitution was signed on his birthday, so that the entire country would flag on his birthday every year. He died in 1908 in a car accident. The Countess's cabinet was a short lived Danish government, that was rumored to be closely associated with the Countess, hence the name.
The natural daughters of Prince Ferdinand didn't play any large role in society, but were known by the royal family and Christian IX later knew all of Ferdinands grandchildren and greeted them when he met them. I don't know their names though.