Joe Simpson and Jessica Simpson
05/02/2012 AT 10:05 AM EDT
The well wishes are pouring in for Jessica Simpson
and her fiancé, Eric Johnson, who welcomed their first daughter
, Maxwell Drew, Tuesday.
"Proud PaPaJoe !! Beautiful baby girl... What a miracle!" excited grandfather Joe Simpson
Meanwhile, Jessica's sister, Ashlee
, told PEOPLE
she's already "in love" with her niece. "Jessica has wanted to be a mom since we were little girls and I couldn't be more excited for her and Eric," she said.
Nicole "Snooki" Polizzi also had words of encouragement.
"Congrats to @JessicaSimpson for having a beautiful baby!!! So exciting!" she Tweeted
And Ellen DeGeneres Tweeted
: ". @JessicaSimpson had a baby girl! Welcome to the world, Maxwell Drew! I guess she's naming her second baby Ellen."
And, though her baby's name may seem a bit uncommon, Simpson's daughter shares the name with another celebrity tot. In January, actress Lindsay Sloane gave birth to
a baby girl, whom she also named Maxwell.