He was possibly named for Elizabeth Fielding, the wife of ____ Rucker?

1820 Somerset, Pulaski, KY Census 7 Aug 1820
Free White Persons - Males - Under 10: 4 (Joel, Liberty, Elijah, & Fielden)
Free White Persons - Males - 26 thru 44: 1 (Peter Warren)
Free White Persons - Females - Under 10: 2 (Judy & Elizabeth "Betsy)
Free White Persons - Females - 26 thru 44: 1 (Jenny Wray Warren)

1830 Pulaski, KY Census
Free White Persons - Males - Under 5: 1 (Peter Jr.)
Free White Persons - Males - 10 thru 14: 2 (Fielden & Elijah Warren)
Free White Persons - Males - 15 thru 19: 2 (Joel & Liberty)
Free White Persons - Males - 40 thru 49: 1 (Peter Warren)
Free White Persons - Females - 10 thru 14: 1 (Judy Warren)
Free White Persons - Females - 15 thru 19: 1 (Elizabeth "Betsy" Warren)
Free White Persons - Females - 40 thru 49: 1 (Jenny Wray Warren)

1840 Pulaski, KY Census pg 318 (same pg as father Peter and Joel, Hiram, Liberty, Elijah
Free White Persons - Males - 20 thru 29: 1 Fielden Warren
Free White Persons - Females - Under 5: 1 (Elizabeth "Betsy")
Free White Persons - Females - 15 thru 19: 1 (Rebecca Hasty Warren)
Persons Employed in Agriculture: 1

1844 KY Land grant, Fielder Warren, 35 acres in Pulaski on Buck Creek, surveyed Oct, 26, B35, p.17

1850 Pulaski KY, Census Pg 387
Fielden Warren 34 KY
Rebecca 26 "
Elizabeth 12 "
David 9 "
Mary 7 "
William H. 3 "
Sarah 1 "

1860 Pulaski, KY, Pg 678
Fielden Warren 42 KY $ 1050 Carpenter
Rebecca 41 "
Elizabeth 20 "
David 17 "
Mary 15 "
William H. 14 "
Sarah 11 "
Peter 9 "
He and family live next door to Martha Warren, b. 1800 TN and Joel B. b. 1839.

1870 Glades Dist, Pulaski, KY Census Pg 199
Fielding Warren 51 KY
Rebecca " 50 "
David " 27 "
Peter " 17 "
Eliz " 29 "
Sarah " 19 "
Eli " 6 "
John M. Waddle 36
They lived next door to his brother Peter Warren

1880 District 92, Woodstock, Pulaski, KY Census
Occupation: Mechanic
Father's Birthplace: VA
Mother's Birthplace: VA
Fielden Warren 61 Mechanic
Rebecca Warren 60
Elizabeth Warren 40
David Warren 37
Eli Warren 16
George R. Warren 5 (son of David)
Rebecca Warren (3 dau. of David)
Aleny Warren 3 (dau. of Betsy Warren)
Sarah Burton 15 (dau. of Mary Warren & William Burton)

No gravestone or illegible at the cemetery.