The second son was called Lo-ammi (Hos 1:8-1:9)

“When Gomer

Had weaned Lo-ruhamah,

She conceived again.

She bore another son.

Yahweh said.

‘Name him Lo-ammi!

You are not my people!

I am not your God!’”

After Gomer had weaned her daughter Lo-ruhamah, the not loved or not pitied one, she conceived and bore another son. This time his name was to be Lo-ammi, meaning not my people. In very strong terms, Yahweh said that the Israelites were not his people. He was not going to be their God.