Lyric discussion by jayemkt 

The preacher was at the house dropping off money, but I don't think he's the boys' dad. I reckon it's what the mom told her kids to explain why she's a single mother. And also a little play on words of how catholic priests are called "Father".

The little brother holding the milkman's hat seems to mean that the mom was sleeping with the milkman.

For a while my theory was that the milkman is also the boyfriend. While dropping off the milk, he saw the preacher with the mom and went into a jealous rage. But I don't think a "triple loser" like him would be able to hold a job, much less be so reliable to drop off a bottle of milk at the home every morning at 9.

So my current theory is that the boyfriend knew the mom was shagging someone else and when he saw the priest, he thought that was his rival and attacked. The brothers and the mother ran away, so the milkman's the only one left in town who knows the real story.

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