During one of Chicago’s infamous winters, Monica Royer, homebound with her newborn, scoured the Internet for baby apparel. Not finding options that were both modern and functional, she last fall launched Monica + Andy, an online infant and toddler clothing line featuring soft muslin blankets, seersucker suits, and tutu dresses. In June, Royer opened a brick-and-mortar boutique in Lincoln Park that includes a bar selling healthy snacks and Mommy Market, which showcases products created by fellow small-business-owning moms.