The best place I can think of to look this up online is the ASCAP and BMI websites.

ASCAP is at: http://www.ascap.com/ace

BMI is at: http://www.bmi.com/

I searched ASCAP for the phrase "If you're happy and you know it" and came up empty-handed. But BMI shows the copyright holder as a one Maryann K Harman. Or Alvin D Fruga. Or one of several others. Appears many have registered this song title with BMI. I suggest you write them and ask. Good luck!

Alex
O..O
=o=