Capt. Joshua Shaw was born 1 Jan 1729 in Brimfield, Hampton Co., MA, s. Joshua and Ann (Brimfield, Hampden Co. vrs).
Joshua b 1729 is the s/o Joshua & Ann (nee?) Shaw. Joshua (born somewhere near 1703?) d March 02, 1776, residing in Monson MA at time of death.
I am guessing Joshua is perhaps a brother of Joseph (res. Milton, Leicester & Sturbridge MA) and Jacob Shaw (res.Milton & Leicester MA). Joseph and Jacob Shaw are probably the ss of Jacob Shaw b November 06, 1672 Boston MA, s/o Fearnot Shaw & Bethia Leager of Boston. Bethia is the d/o Jacob Leager & his 3d wife, Ann Blake, d/o William Blake of Boston.
William's son, John Blake m. 2d Mary (Sowther) Shaw, widow of Joseph Shaw of Weymouth MA, s/o Abraham Shaw & Bridget Best of Watertown & Dedham MA 1636. Joseph Shaw was the father of Fearnot Shaw (m. Bethia Leager), and John Blake was the step-father of Fearnot Shaw. Some of John Blake's brothers moved to Worcester Co., and it appears Jacob Shaw followed them.
Joshua Shaw b 1729, d 1793, m. Lucy Bliss (parents?), b 1733, d 1788, buried with her husband in Monson town cemetery, Monson, Hampden, Massachusetts.
Their son, Lt. John Bliss Shaw, b December 08, 1755 Monson MA, d 1842, m. Hannah Bush (parents?) b March 12, 1756 (location?). Both buried Butler Dist. Cemetery in Monson MA.
Lt. John's son, Walter Shaw migrated to Pike Co., IL in the 1820s or early 1830s ... perhaps other siblings moved to IL?
I have siblings John Shaw b February 19, 1784 Monson MA, and Jotham Shaw 1790 - 1879 (you as source for this name).