I'll start by making a family. You choose one of the children and start the next generation. Depending on the date is how many children you have. You may choose the gender(s).
1st - 6 children
2nd - 4 children
3rd - 1 child
4th - 2 children
5th - 3 children
6th - 3 children
7th - 5 children
8th - 4 children
9th - 5 children
10th - 5 children
11th - 1 child
12th - 6 children
13th - 3 children
14th - 2 children
15th - 5 children
16th - 6 children
17th - 1 child
18th - 2 children
19th - 3 children
20th - 1 child
21st - 2 children
22nd - 2 children
23rd - 5 children
24th - 4 children
25th - 1 child
26th - 3 children
27th - 6 children
28th - 4 children
29th - 2 children
30th - 3 children
31st - 5 children