Baby Mix Up

Five newborns were all born to the same hospital, with the same nurse caring for all of them. Unfortunately she lost all her paperwork determining who was in each cot! From the few pieces of information she still remembers, can you help her figure out the first (Emily, Jason, Lawrence, Jenny, Remi) and last (Adams, Ali, Michael, Peters, Nguyen) name of the baby, colour of their blanket (Red, Orange, Yellow, Green, Purple), the order of the cots they are in, and finally what time they were born (1:26pm, 3:50pm, 5:17pm, 7:35pm, 9:42pm)?

1. The five children are in some order: the one with the yellow blanket, the one born at 5:17pm, the one in the fourth cot, Jenny, and Ali.

2. Jenny cried whenever she slept near Emily, so they were kept at least two cots apart.

3. The babies in order of their cots are: The one with the purple blanket, Lawrence, the one born at 3:50 pm, Michael, and the one born last.

4. If Jenny's last name is Nguyen, then Jason has the red blanket. If her last name is Adams, then Jason has the green blanket.

5. Each male child had at least one male child to either his left or right.

6. One pair of complementary colours were placed next to each other.

7. Remi had a baby on either side of him.

8. Nguyen is younger than all the other babies.

9. Ali's parents didn't name him after a famous Argonaut.

10. Emily was not born when the time was even.

11. Either Remi or Ali were born first.

12. Peters owned the yellow blanket.

13. If you add all of the digits in Jason's birth time up, you will get a number larger than 10, but less than 20.