Final answer:
Barbara and Blaine are second cousins once removed.
Step-by-step explanation:
In this scenario, Blaine is the son of Alice, making Blaine Barbara's cousin. Alan is Barbara's brother, so Blaine is also Alan's cousin. However, Alan and Blaine are not in the same generation. Alan is the uncle of Blaine. This relationship is described as first cousins once removed.
The children of Alan and Annette, Bart and Barbara, are Barbara's children. Cassie is Barbara's daughter and Chip is Barbara's son. Cassie and Blaine are married and have a son named Daniel, who has hemophilia A. Therefore, Cassie and Daniel are siblings, making Daniel Barbara's nephew. The twins that Cassie and Blaine are expecting will be Daniel's cousins. But again, since they will not be in the same generation, the relationship will be once removed. Therefore, the twins will be second cousins once removed to Barbara.