The Rev. Cathlin Baker was busy. It was something of a day off from activities at West Tisbury’s First Congregational Church, of which she is the new minister. It wasn’t her sermon-writing day. But there was still unpacking to be done at the parsonage in Island Farms. Then Eirene (who was born on St. Patrick’s Day and whose name means “peace” in Greek) needed to be nestled and four-year-old Hardy had to be greeted when he came home from the Rainbow Place preschool in Edgartown.