Solution

194605

First name
Lucy
Age
0

When I was stuck, I looked for all the different permutations that were possible to make the amount needed with the numbers which I still had left. I did that for all the cages which I didn’t have an answer for and then looked for the most likely numbers and any which couldn’t fit. Once I had done that, everything fitted into place all at once, because as each piece went into place it narrowed down all the other options. It helped to view it in two ways: a number of small problems which is the cages, and separately see it as a bigger problem and look at it all together.