Moses Milliken's wife was Mary Murrell. She was NOT a daughter or granddaughter of Robert Murrell as some people have claimed. It's likely (but not absolutely provable) that she was a daughter of John Murrell d by 1706 and his wife Elizabeth and also a sister to John Morrall (his line used a slightly different spelling) who is associated with Murrell's Inlet near what is now known as Myrtle Beach.
Here is the research that Elizabeth Girardeau, John Morrel, and I did a few years ago trying to place Moses' wife Mary Murrell in her proper family. I suggest that you print it out and save it as webpages have a nasty habit of vanishing. Make sure you take the links to the related webpages. This will take you back to the Murrells of Barbados.
I have seen webpages that claim that Moses Milliken was the son of one person or another, but I have never seen anything in the way of RECORDS to make a solid connection - or even a good semi-solid connection with circumstantial evidence.