Nearly 5 years late, but I remember K-K-K-Katy.
My mother's name was Kathleen and at Christmas (in the 50s) we sang a song for everyone round the tea-table at Grandma's. That was the song they sang for her.
K K K Katy
Beautiful Katy
Your the only little girl that I adore
When the M m m moon shines
on the C C C cow shed
I'll be waiting at the K k k kitchen door.

I think there is a thread about it already.