FFC could have done something with Connie's kids. Her second son Michael Rizzi was in the center of the baptism sequence, and her eldest son was referred to when Michael said he was caught stealing in Reno.

So Connie's grown up sons could have played a same role as Vincent in Part III. Especially because Connie was extremely close to Michael during those years so she would be a vital link between Michael and her sons. And Michael was responsible for ordering the death of their father.