updated 07/06/2012 AT 11:00 AM ET
•originally published 07/06/2012 AT 8:30 AM ET
Baby’s first Independence Day!
“Hope everyone had a great 4th!” wrote Simpson, 31, also dressed in an appropriately patriot ensemble.
Since welcoming baby Maxwell, her first child with her fiancé, May 1, Simpson told PEOPLE “life has completely changed.”
“From how I sleep to what I think about,” she told PEOPLE in May, “Maxwell has definitely taken over everything.”