Guard Christal Caldwell, West Virginia's second-leading scorer at 12.6 per game, was held scoreless, as was forward Linda Stepney.
"They were getting physical and we weren't,'' West Virginia coach Mike Carey said. "Some of us were just standing around watching the game being played.''
West Virginia scored the first five points of the second half and drew to 52-44 on a basket by Averee Fields with 12:30 left, but the Mountaineers got no closer.
Baylor then scored seven straight points, only to be answered by a 6-0 run by West Virginia. Holmes' layup cut it to 59-50 with 9:12 remaining, but West Virginia failed to make a field goal over the next 5 minutes.
Sims made six free throws and Nina Davis hit a layup for a 69-55 lead with 4:42 left.
The Mountaineers missed a bevy of layups and shot 33 percent (22 of 67) from the floor, their second-worst performance of the season.
Sims personally outscored the Mountaineers 26-25 in the first half with a variety of long shots and drives to the basket.
The teams combined to miss 12 of their first 13 shot attempts before Sims made a fast-break layup for a 5-0 lead. Despite the slow start, the Lady Bears had a double-digit lead 5 minutes into the game.
Baylor used its size advantage to outrebound WVU 51-30.