Kaley Cuoco and Tom Pelphrey have become first-time parents, welcoming their baby girl, Matilda Carmine Richie, on Thursday. The couple introduced their newborn as the "new light of our lives" by sharing their first family photos on Instagram.

Cuoco, 37, wrote, "Introducing, Matilda Carmine Richie Pelphrey, the new light of our lives! We are overjoyed and grateful for this little miracle. Thank you to the doctors, nurses, family, and friends who have helped us immensely over the last few days. We are blessed beyond belief  @tommypelphrey didn't think I could fall even more in love with you, but I did ."

 
 
 
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Pelphrey, 40, posted sweet pictures of the family, opening his caption with a quote from the 13th-century Islamic poet Rumi: "You are the Soul of the Universe. And your name is Love."

He continued, "My heart is full of love and gratitude for this miracle…Matilda Carmine Richie Pelphrey 3/30. Eternally grateful for the strength and bravery of my soulmate and best friend @kaleycuoco. You are incredible. "

A source previously told PEOPLE that Cuoco was "very excited about having their baby and ready for the big day." She is also very much in love and gets along great with Pelphrey, which makes things even better. "She has found her soulmate," added the source.

Cuoco looks forward to witnessing the couple grow into their new roles as parents. Sources previously told PEOPLE that she believes Pelphrey will be a "hands-on dad." The source said, "Kaley is comfortable about Tom as a mate and father, comfortable about the big change the baby will have in their lives, and comfortable about her work. They are preparing for the arrival, which isn't far off. She is in a good place."