Adam Levine offers to sign 'The Voice' also-ran Christina Grimmie of Marlton (via NJ.com)

Jersey girl Christina Grimmie, the pop powerhouse and early standout on "The Voice," may not have won the competition, but coach Adam Levine has offered to sign her to his label. Like Colts Neck's Jacquie Lee last year, Grimmie came close to capturing…