
Hannah Hall and Dakota Harrison led the Golden Eagles with two hits each.
Richmond scored three times in the third inning before Lincoln closed the gap in the sixth on a two-run single by Emmie Pugh.
The Red Devils picked up a pair of runs in the bottom of the sixth.
Hall hit a sacrifice fly that provided the final run of the contest in the seventh.
Lincoln (2-3) faces Northeastern in the opening round of the Wayne County Tournament on Saturday in Fountain City.