We know nothing from the sentence about the relationship between Jack, Jill, father or mother. For all we know, father or mother may be the writer's parents rather than those of Jack or Jill. They may be living together, or apart.
As it stands, the sentence is unclear because it is not clear to what the conditional part "so long ..." applies:
Jack will come to mother's house and will come to father's house so long as Jill does not have Covid.
Let's insert a comma:
Jack will come to mother's house and will come to father's house, so long as Jill does not have Covid
Now it is clear that the part before the comma is a unified proposition formed by the conjunction "and". It will only satisfied if Jill does not have Covid. In that case, Jack will visit father and mother.
Now try the comma in another place:
Jack will come to mother's house, and will come to father's house so long as Jill does not have Covid
Now Jack will visit mother. But he will only visit father if Jill does not have Covid.