I don't believe that the Meadows adopted Ellen's child -rather just cared for him while Ellen decided what to do.
From a 1958/59 synopsis
But a new man soon comes into Ellen's life: Dr. Tim Cole, a research colleague of Dr. Doug Cassen. The two have a passionate affair, but Tim is keeping something from Ellen: he is already married to someone else. Ellen soon finds herself pregnant. Since she doesn't want anyone in Oakdale to know she's going to have a baby out of wedlock, Ellen leaves for Columbus, where she stays with Dr. Joe Meadows and his wife. It is there that Ellen gives birth to a baby boy she names James, after her late father.
Ellen, who has just given birth to Jimmy, feels betrayed that Tim didn't tell her about his wife, Louise. Therefore, Ellen leaves Jimmy in the care of Dr. Meadows, and she starts dating Burt Stanton, a friend of Jeff's. Ellen and Burt soon become engaged, but Burt breaks the engagement after learning of her affair and baby with Tim. With seemingly nowhere else to turn, Ellen gives up Jimmy for adoption.
As for the Meadows appearing on The Brighter Day.I'll have to some more checking.
As for the Meadows appearing on The Brighter Day