RSM (24-7) took a 2-0 lead with two runs in the third inning. Spalding (11-16) pulled one back in the fourth.
In the fifth inning, sophomores Amanda Nielsen and Mindy Gerrietts gave the Hawks the boost they needed.
Nielsen hit a double in the fifth that hit off of the outstretched glove of the Spalding center fielder. Gerrietts then laid down a bunt and a throwing error allowed Nielsen to score.
With the score still 3-1 in the sixth inning, junior pitcher Miranda Staab hit a double down the left field line with one out. Junior first baseman Katie Arens singled up the middle to score Staab. Arens made it to second base on the throw home.
After sophomore Lyndsie Schorg grounded out, Nielsen laced a hard ground ball that the shortstop could not handle and Arens put RSM up 5-1. Gerrietts followed with another hard ground ball that the shortstop could not field and Nielsen scored to give RSM a 6-1 advantage.
Abby Van Den Top led off the seventh inning for Spalding with a double. After a fly-out to center field, Melissa Schmit hit a double down the left field line to plate Van Den Top.
Schmit advanced to second base on a wild pitch by Staab. Schmit then scored on a ground ball out by Alex Willman to make the score 6-3.
Staab went all seven innings for RSM and allowed one earned run on five hits. She struck out three batters and walked three.
The win was not without some uneasiness for the Hawks.
"Sometimes I think we lose focus," said RSM head coach Nick Staab. "We only have one senior on the team, but we've got some juniors that need to play like seniors. They've been starting since eighth grade.
"It's seven innings. The game is seven innings long. It's not always over in five or four or three. It's seven innings. You need to be focused for seven innings."
Nielsen and Gerrietts, hitting as the No. 8 and No. 9 batters in the lineup, combined for seven of the Hawks' hits against Spalding.
Nielsen hit 3-for-3 with a double, an RBI and three runs scored. Gerrietts was 2-for-2 with two RBIs and a run.
Staab finished 2-for-3 with a double. Junior shortstop Makenzie Ricke, senior Katelyn Bohnenkamp and Arens each had one hit apiece.
RSM had nine hits against Spalding, but the offense has struggled at times in recent games, including a 3-2 loss on Tuesday in which the Hawks had just two hits.
"They're trying too hard; they're pressing," Staab said. "I said, 'It's mental. You need to clear your mind, get up there and hit the ball. Do your job. You don't have to carry this team. We've got enough good hitters.'
"They're pressing too hard."
Coach Staab said Tuesday's loss to Hinton (7-24) was the "complete opposite" from Monday's win over Marcus-Meriden-Cleghorn (15-7). The Hawks had 14 fly-ball outs in the loss.
"We weren't very patient at the plate," Staab said. "We just swung at a lot of bad pitches. We weren't ready to play. I was pretty disappointed. Going into the game, we were second place in the conference. We didn't have anybody step up.
"They played good and their pitcher pitched good," Staab continued. "We didn't get it done."
RSM had to come from behind on Monday night to defeat the MMC on the road.
Junior catcher Paige Harpenau earned a walk in the first inning. She advanced to second base on a single by junior center fielder Anyssa Trejo and then scored on a single by Staab.
The Eagles answered with a run in their half of the inning. RSM went back ahead 2-1 in the third. Two runners scored on a passed ball in the fourth inning to give RSM a 4-1 lead.
MMC senior Brandi Orr hit a three-run home run in the bottom of the fifth inning to put the Eagles ahead 5-4.
After a scoreless sixth inning, freshman third baseman Alexis Bunkers homered in seventh to tie the game at 5-5. Staab then reached base on a double and scored on a ground-out by Schorg.
In the bottom half, Staab retired MMC's second and third batters, junior Kayla Theisen and senior Kayla Foresman, in the bottom of the seventh inning. Senior Jalyn Doeden reached base on an error before Orr grounded to Staab for the final out.
"We played really well," Nick Staab said. "It was an intense game, a playoff-like game. I thought it was a good effort hitting-wise and pitching-wise.
"Foresman is a really good pitcher. I was really happy with our effort."
Staab finished a perfect 4-for-4 against MMC. She hit one double and had two RBIs. Ricke hit 2-for-5 and scored two runs.
Staab pitched all seven innings and allowed three earned runs on five hits. She struck out six and walked three.
RSM has an off-day Thursday before closing out the week at Gehlen Catholic on Friday.