Yes, Dumbarton Libary Archive holds a full register of those buried at Milburn.
I know this for sure because I have held it in my hands and used it in my own research. Its an amazing piece of documentation.
Sadly the number of children buried there is mindblowing. Most of the little ones under a year old don't even have their names recorded, just the word teeth or tooth which means I believe they are under 6 months old.
Also if I remember correctly, some graves were only held as family grave for I think 7 years before someone else was popped on top and in doing this the who is where question can become confusing and not every single person laid to rest there is in the large Millburn grave register .
But yes Dumbarton Library is where you will find A register maybe two. Good luck.