Can't help with 3 names you give, but John Kinnicutt(father of Jeremiah)was son of Daniel & Hannah(Kent)Kinnicutt.The 2 following ladies used the name of Lieut. Daniel Kinnicutt in their DAR Applications:
Mrs. Ethel Miller Burton Burnham, DAR ID No.29010 (Volume 30, Page 5)
Mrs. Jessie Gordon Weston Roberts, DAR ID No. 163930 (Volume 164, Page 303)
The Volume and page numbers apply to The National Society of the Daughters of the American Revolution Lineage Books.