The term rotating shuttle is ambiguous. Sometimes it refers to a bobbin case, and sometimes it refers to a rotary hook design.
US patent 4750, published 10 September 1846
https://worldwide.espacenet.com/textdoc?DB=EPODOC&IDX=US4750
Singer Sewing Machine Company (1914). "Monograph 5". Mechanics of the Sewing Machine. Singer Sewing Machine Company. p. 49. mechanics of the sewing machine monograph 5. https://archive.org/details/mechanicssewing00compgoog
Grace Cooper (2004). "1913 trade flyer offering a treadle cabinet and a choice of machines representing every bobbin driver design except the transverse shuttle". The Sewing Machine: Its Invention and Use. Smithsonian Museum. p. 152. http://www.sil.si.edu/digitalcollections/hst/cooper/
Refer to Vibrating shuttle for full inventor credits with references /wiki/Vibrating_shuttle
All information drawn from the Vibrating shuttle article /wiki/Vibrating_shuttle
Singer's last vibrating shuttle machine was built in 1962, according to the references on the Singer Model 27 and 127 page /wiki/Singer_Model_27_and_127
See e.g. US patent 5617803, "Rotary Loop Taker with Replaceable Tip", issued 1997
https://worldwide.espacenet.com/textdoc?DB=EPODOC&IDX=US5617803
US patent 9041, published 15 June 1852 ; but see Rotary hook for full inventor credits with references https://worldwide.espacenet.com/textdoc?DB=EPODOC&IDX=US9041
All information drawn from the Rotary hook article /wiki/Rotary_hook
Singer Sewing Machine Company (1914). "Monograph 5". Mechanics of the Sewing Machine. pp. 54–55. https://books.google.com/books?id=chkLAAAAIAAJ&dq=mechanics%20of%20the%20sewing%20machine%20monograph%205&pg=PA49
US patent 208838, issued 8 Oct 1878 ; and refinement US patent 221338, issued 4 November 1879 . The Singer Sewing Machine Company (1914). "Monograph 5". Mechanics of the Sewing Machine. Singer Sewing Machine Company. p. 50. mechanics of the sewing machine., the date of invention is given as 1879, but the Miller/Diehl patent trail actually began in 1877. https://worldwide.espacenet.com/textdoc?DB=EPODOC&IDX=US208838
Singer Sewing Machine Company (1914). "Monograph 5". Mechanics of the Sewing Machine. Singer Sewing Machine Company. p. 52. mechanics of the sewing machine monograph 5. https://archive.org/details/mechanicssewing00compgoog
Singer Sewing Machine Company (1914). "Monograph 5". Mechanics of the Sewing Machine. Singer Sewing Machine Company. p. 53. mechanics of the sewing machine monograph 5. https://archive.org/details/mechanicssewing00compgoog
See e.g. US patent 3921553, "Lock Stitch Rotating Shuttle", issued 1975 , or US patent 3698333, "Rotating Shuttle Drive Mechanisms", issued 1972
https://worldwide.espacenet.com/textdoc?DB=EPODOC&IDX=US3921553
See e.g. US patent 36256, "Sewing Machine" (ironically filed by Wheeler & Wilson), or US patent 2257950, "Sewing Machine", issued 1941
https://worldwide.espacenet.com/textdoc?DB=EPODOC&IDX=US36256