Mama June, Pumpkin -- Man Charged with Death Threats

A guy threatened to shoot Mama June and Pumpkin too ... and he's been charged with making terroristic threats ... TMZ has learned.

Cops in McIntyre, GA tell us ... June was threatened on her Facebook page. June tells us he threatened to shoot both her and Pumpkin.

Police got a warrant for Andrew Kurt Summers, who turned himself in Monday. He's been released on $15K bail.

Summers faces the felony charge of making terroristic threats.

Mama June says she takes threats against her and her kids very seriously.

Well, not ALL threats ...