UPDATED: June 2, 2015 7:12 p.m.

WASHINGTON (CBSDC/AP)– Senior adviser to President Barack Obama, Valerie Jarrett, was just one of many to speak out on social media in support of Caitlyn Jenner.

The White House retweeted Jarrett, echoing the sentiment to support Jenner’s coming out Monday in Vanity Fair.

Jenner’s loved ones were also among the numerous well-wishers.

Her stepdaughter, Kim Kardashian West, tweeted: “How beautiful! Be happy, be proud, live life YOUR way!”

Khloe Kardashian declared: “We were given this life because you were strong enough to live it! I couldn’t be prouder!!! Caitlyn .” The third K sister, Kourtney, chimed in: “Freedom! Stunning.”

Jenner daughter Kendall Jenner added “be free now pretty bird.” Her little sister Kylie Jenner took to Instagram with the cover and this sentiment: “My angel on earth!”

Among others to welcome Caitlyn — and her new Twitter handle @Caitlyn_Jenner — were Lady Gaga, who tweeted: “thanku for being a part of all of our lives & using your platform to change people’s minds.”

The lesbian, gay, bisexual and transgender advocacy organization GLAAD promptly issued tips and terminology for referring to transgender people.

“By sharing her journey with the world, Caitlyn Jenner is accelerating acceptance of transgender people everywhere and reminds us all how important it is to live as your most authentic self,” said Sarah Kate Ellis, GLAAD’s president and CEO.

From the fashion world, designer Zac Posen offered: “Be who you are and feel beautiful.” And from TV land, Jesse Tyler Ferguson represented with a reference to another famous magazine cover, that of Paper, Kim Kardashian and her famous arc of Champagne from bottle to derriere:

“Caitlyn Jenner has truly broken the Internet. What a moment.'”

But just how did Jenner go about replacing “Bruce” with the name “Caitlyn”?

“It was one of the hardest things in life–choosing your own name,” CBS News reports Jenner said of her experience selecting the right first name, which began two years ago. She began by looking for inspiration among Miss America pageant contestants, searching for women whose profiles inspired her and reminded her of herself. Among some of the potential names were Heather and Cathy, but Caitlyn remained at the top of her list.

Then, one day, her assistant Rhoda independently suggested Caitlyn.

“I love that name, too!” Jenner said. The coincidence seemed fateful.

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