Here's some information I have on Joshua and Mary COCKEY. I'm not certain of Joshua's place of birth. Do you know daughter Rachel married an Ephraim SHIPLEY?? Could it have been Talbot - Ephraim Talbot Shipley or Talbot Ephraim Shipley?
The following information came from: Owings, Addison D and Elizabeth S (compilers); Owings and Allied Families 1685-1985: A Genealogy of Some of the Descendants of Richard Owings I of Maryland, Third Edition, Gateway Press, Inc; Baltimore 1985, pp.506-7. "Joshua Owings, sixth and youngest son of Capt. Richard and Rachel Owings, b. 5 April 1704: d. 11 April 1785: m. at St. Paul's Church, Baltimore, 9 March 1735, Mary Cockey (b. 10 Dec. 1716; d. 10 Dec. 1768) dau. of Capt. John and Elizabeth (Slade) Cockey of"Hellmore's Addition"; Back River Upper Hundred, Baltimore County: (St.Paul's Parish Register, Vol. I, pp.34, 155). Capt. Cockey was one of the Justices of Baltimore County in 1726-27.
From Will of Joshua Cockey - concerning Rachel:
In his will, dated 6 Dec. 1780, Joshua Owings named his sons Joshua, John Cockey and Edward Owings and daughter Rachel Shipley, wife of Talbot Shipley of Anne Arundel County and named dau. Rachel Shipley as executrix (Baltimore Co.,Wills, Bk. 35, p. 19. Anne Arundel Co. Wills, folio 19, Bk. T.G.#2, no. 35)
Joshua Owings patented "Shiloh", a 150 acre tract in Baltimore County in 1738 (Baltimore Co., Land Patent, liber EI#6, folio 82) and "Shiloh Compleated" a 424 acre tract in that county in 1750 (Baltimore Co., Land Patent, liber CY & CS #4, folio 36). He owned other lands in Baltimore Co., and in Frederick County, also. He and his family lived near Harrisonville, Soldiers Delight Hundred, Baltimore Co., in a handsome mansion, called "Harmony House" built in a cruciform shape with thick walls and narrow windows. Shortly before his death, he gave "Harmony House" to his daughter Marcella and went to live with his youngest daughter, Mrs. Rachel Shipley. He contributed toward the building of St. Thomas Church, Garrison Forest; was a vestryman in 1745-46 and in 1752-55 and church warden in 1747 and in 1766 (St. Thomas Parish Register, pp. 88,135,103,107). However he became increasingly interested in the Methodist movement and became a warm friend and frequent host of Bishop Francis Asbury. He was mentioned in Bishop Asbury's Journal very often. In 1773, he was one of those persons who purchased one acre of "Collett's Neglect" on which to build a meeting house. (Journal of Bishop Francis Asbury, Vol. I. pp. 22.214.171.124.110).
More on Mary Cockey -
!BIRTH: Barnes, Robert; "Green Spring Valley: Its History and Heritage;" Volume II; Maryland Historical Society, Baltimore, MD; 1978, page 20.
!DEATH: Barnes, Robert W; Baltimore County Families; 1989; page 487.
!MARRIAGE: Maryland Indexes; Marriage References; MSA S 1527; "O"; OWINGS, Jos., m. by 11 July 1758, Mary, sister of Peter Cockey of BA Co. (MDAD 41:457).
Hope this is of some help to you.