Screen 14 - Notice under Distributions  is a 1. A bit further down is Add and Delete. Click Add and enter the new 1099Q. Do that again until you have 1. 2. and 3. entries for the three distributions. 

Thanks for the response. I had done that. But it is still giving me a $10k cap because there is no way I can see to tell it they are for three different beneficiaries. This either a shortcoming in Lacerte since this is the first year for this, or I am missing something. Thank you for your help.

I just did a dummy return with 3 distributions, all funds spent on Higher Education.
12,000 with earnings of 11,000 on 1,000 Spent 12,000
10,000 with earnings of 7,000 on 3,000 Spent 10,000
8,000 with earnings of 6,000 on 2,000 Spent 8,000

Lacerte showed a Worksheet with 24,000 distributed earnings and zero taxable.

@George4Tacks   The $10,000 cap is from K-12 expenses, not "Higher Education".  Does that change things on your dummy return?

Hi George, Thanks again for your reply. Each of the 3 kids are in K-12. They should each have a $10k cap, but Lacerte is giving me a family cap of $10k since I do not see a way to code each distribution to a different kid. Thanks, Rob

@IntuitAlicia any thoughts on this one?