The dukedom can only be inherited by a royal couple's male heir, and if they don't have any boys, the title will die out.
Meghan has said in the past that both she and Harry are feminists, and her 'About' page on the royal family website notes the importance of her being a champion of female empowerment.
'I am proud to be a woman and a feminist,' she is quoted on the site.
The newlyweds have made no secret of the fact they want to start a family.
Meghan Markle's sister-in-law Erin Specht revealed earlier this year that pregnancy news for the couple was imminent.
Revealing that Meghan is ‘desperate to have a family of her own’, Erin exclusively told New Idea, ‘She wants kids. She will be an amazing mother.
‘Meghan will get pregnant in her first year of marriage if she can. For certain she will be trying for a baby on their honeymoon – she is going to be a brilliant mum.
‘Having a family is going to be a priority for her in their first year of marriage. She also has the pressure of being a royal now as well!
‘But being a mum is something which she really wants and she has all the perfect qualities. Patience, kindness and a wonderful nature. And she is just great with kids already.’
Erin reveals that she’s seen Meghan’s beautiful and intuitive maternal side in person, impressed as she watched the actress play with her young nephews Ty and TJ.
‘She was great with them, playing games, running around,’ Erin tells New Idea. ‘She was a teenager at the time. They adored her and she was clearly a great aunty. She has a good heart.’
The Royal Wedding Debrief! What happened after Meghan and Harry's big day? The New Idea Royals podcast will talk you through why Harry and Meghan's wedding will go down in history as one of the most entertaining and romantic. In this episode New Idea's editor Frances Sheen and royal expert Angela Mollard take you behind the scenes of the big day - from the bride's stunning dresses to the surprise guest list - and talk through all the highlights that kept us all riveted.
This article originally appeared on New Idea.