When doctors told Mallory Quinn she was pregnant with triplets, she couldn’t believe it.

“We were pretty shocked,” Quinn tells TODAY.com. “It didn’t process at first. It took a minute … actually it took a few days.”

But after Quinn delivered her triplets — Caden, Eliana and Rory — at Allegheny Health Network’s West Penn Hospital in Pittsburgh, Pennsylvania on June 10, something even more surprising happened.

Quinn tripletsAfter a five year fertility journey, Mallory and Corri Quinn welcomed spontaneous triplets — Caden, Eliana and Rory — on June 10. Courtesy Allegheny Health Network’s West Penn Hospital

A second set of triplets was delivered at the same hospital on June 11: Matt and Monica Wilden introduced the arrival of Dean, Charlie and Griffin.

Wilden tripletsMonica and Matt Wilden went to the same hospital to deliver their triplets — Dean, Charlie and Griffin — on June 11.Courtesy Allegheny Health Network’s Penn Hospital

And a third set arrived on June 12: Julia and Jeff DeFrancisis with their babies, Mila, Clara and Lena.

That means that the hospital welcomed three sets of triplets in three days … and all nine babies spent time together in the hospital’s Level 3 NICU.

DeFrancisis tripletsJeff and Julia DeFrancisis welcomed their babies — Mila, Clara and Lena — on June 12.Courtesy: Allegheny Health Network’s West Penn Hospital

Two of the three sets of triplets were conceived spontaneously (without the use of fertility medication). The odds of having spontaneous triplets are roughly 1 in 9,000.

Having three sets of triplets born in three consecutive days is a record for the hospital … but those aren’t even the only triplets that the hospital has seen recently.

West Penn recently helped Sydney and Grant Barnes welcome their triplets, Junie, Frankie and Teddy into the world on April 2. There have also been whispers about a fifth set of triplets on the way!

“Every time I went for an ultrasound, (hospital staff) would be like, ‘We have so many triplets right now,’ but I had no idea that they were going to be all delivered within the same week!” says Quinn.

Mallory and Corri Quinn’s journey to parenthood included five years of heartache, from miscarriages to IVF to a stillbirth. To now be the parents of spontaneous triplets without a family history of multiples, they say, is nothing short of “a miracle.” Despite the hour-long car rides to the hospital every evening, Mallory Quinn says the birth of their first babies has been “a blessing.”

Born at 31 weeks, the Quinn triplets have to “learn how to regulate their temperature, and they have to gain weight, and they have to learn how to eat from a bottle” before they’ll be able to go home,” says their mother.

The triplet moms have all chatted at the hospital.

“It was really nice to talk to them, and it would be nice to be able to stay in touch with them down the road,” Quinn adds.