sian,west wales, said:

Don't like, You Picked a Bad Time to Leave Me, Lucille. What? Does he mean that if the kids are fed and the crops are in, he'd be happy to see her leave? So ... convenience to HIM is what's important?

I think you've got a wrong handle on what the narrator is saying in this song, sian.

In essence, the "bad time" is when he's already been knocked down, and Lucille has picked that time to kick him in the groin.

I haven't heard the song for a while, but I seem to remember that the title is actually, "You picked a fine time to leave me, Lucille," an ironic statement. The song is rueful humor, as I understand it. You seem to be taking it at absolute face value.

Dave Oesterreich