lots on Keziah Moberly/Mobley here. The second one looked more complete but I didn't compare carefully.
as found at
https://freepages.rootsweb.com/~nolenancestry/genealogy/page6.htmlas found at
http://lancehallgenealogy.com/mobley/Moberly.html---
I think the connection to Yorkshire might be the Moberlys. There were a lot of them there when I tried just the name and county at ancestry, and not too many Worleys.
I didn't try Meador, that could be the connection also, since your matches are to Dorcas Meador, daughter of Keziah Mobley.
Anyway I started searching for Mobley + Yorkshire + Maryland (because that is where Keziah's earliest American ancestor is found, according to one of those links.
I found this:
https://freepages.rootsweb.com/~mobleyb/genealogy/Family_History.html1 Edward Moberley, b. WFT Est. 1531-1587, Yorkshire Co., England, d. WFT Est. 1569-1621,
m. WFT Est. 1555-1621 ________
1.1 William Moberley, b. WFT Est. 1569-1615, England, d. WFT Est. 1609-1659, England
1.1.1 Edward Moberley, b. WFT Est. 1609-1642, England, d. WFT Est. 1666-1701, England
1.1.1.1 William Moberley, b. 1665, England, d. WFT Est. 1699-1756
m. Phoebe Lovejoy, b. 1665, England, d. WFT Est. 1699-1760 [Phoebe is rumored to have been a "governess" for William Penn's family in PA., but no records remain to support this claim]
1.1.2 John Mobberly I, b. WFT Est. 1606-1635 in Cheshire, England, d. WFT Est. 1658-1697.
m. Abt. 1655 Elizabeth Woods, England, b. WFT Est. 1615-1638 in Cheshire, England , d. WFT Est. 1659-1709
1.1.2.1 John Moberley, Sr., b. Abt 1657, England, d. 1727, Maryland.
m. (1) Abt. 1686 Anne Biggers, England, b. Bet. 1658 - 1660, England, d. Bef. 1708, Maryland. [dau. of John Biggers, (Col.)]
m. (2) Bef. 1708 Elizabeth Robertson, b. WFT Est. 1655-1690, Prince George Co., MD, d. WFT Est. 1711-1750.
m. (3) 2/28/1716 Susannah Scaggs, Queens Parrish, Prince George Co., MD, b. WFT Est. 1657-1699, d. WFT Est 1719-1753.
1.1.2.1.1 William Mobberly, b. 1692/93, d. WFT Est. 1694-1783
1.1.2.1.2 Edward Mobberly, b. 1696, d. WFT Est. 1697-1786
note: The last man, Edward, is in the files about Keziah's ancestry.
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here is something on the Meador family, where they were before Anson Co, NC, and their connections with the Mobleys.
https://freepages.rootsweb.com/~theduffypapers/family/meador/1738_jason_meador.htm-----
thoughts:
If the Meadors and Mobleys were that close to each other, and the Meadors were Quakers, then maybe the Mobleys were also. And maybe that is why they left England. I don't know, I didn't get that far.
None of those pages except for the Morleys at werelate.org have sources, so use with caution.
One of the pages, at werelate.org I think, got into the proof that Wiley Worley's wife Dorcas was the daughter of Thomas Meador and Keziah Mobley. I think a pretty strong point is the 1830 census of Dorcas' household with the 80 to 90 year old woman in it. Thomas died before 1826 - there are records in that year of his land going to a son and Keziah relinquishing rights to it.
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How far back have you traced your cousin's line in England? Does he/she have anyone named Mobley or Meador in their ancestry?