Conversation so far:
When did she marry?
30 April 1612.
Who did she marry?
Shah Jahan.
Are there any other interesting aspects about this article?
Despite her frequent pregnancies, Mumtaz travelled with Shah Jahan's entourage throughout his earlier military campaigns and the subsequent rebellion against his father.
Did they have children?
they had fourteen children together (eight sons and six daughters), seven of whom died at birth or at a very young age.
Was this an arranged marriage?
Mumtaz Mahal was betrothed to Shah Jahan around 30 January 1607, when she was 14 years old at the time and he was 15.
Did they divorce?
Mumtaz had a loving marriage with Shah Jahan.

Question: Where did they live?
Self-contained rewrite: Where did Mumtaz Mahal and Shah Jahan live?