Brown added his real pick shortly afterward.
"I would buy my mother the emerging markets ETF," he said. "I think, for the next three to five years, this is poised to outperform the most popular areas of the market."
Rosecliff Capital's Mike Murphy also looked overseas to honor his mother.
"She was born in County Kerry in Ireland," he said. "I'd like to get her some flights back and forth on the cheap as a large stockholder in the name, so Ryanair."
Jim Lebenthal of Lebenthal Asset Management went a more traditional route.
"Beloved mom would want to understand what she's owning. She'd want a classic. It wouldn't be WhatsApp or Oculus or any of these things that Facebook and Google are buying," he said. "She'd buy IBM. She knows what she's getting."
OptionMonster's Pete Najarian harked back to his youth for his Disney pick.
"When I look at my mother and all the memories we had over the years when we used to be in California, living up in the northern part of the Bay Area... trips down to Wallyworld, otherwise known as Disneyland back then," he said, noting this week's strong earnings. "And I think this is a stock that goes nothing but higher with the content they own."
Disclosure: None of the traders hold positions in the stocks they recommended.
—By CNBC's Bruno J. Navarro. Follow him on Twitter