I have a connection to David and Lucinda's line also. I haven't found any certain proof of a marriage between David Orville Belcher and Sarah Saylor but according to the 1880 Knox Co. census David is listed as Josiah's son in law.
1880 Knox Co., KY, Dist. 7, HH# 393, Josiah Saylor
Josiah SAYLOR Self M Male W 50 KY Farmer NC KY
Elizabeth SAYLOR Wife M Female W 50 KY Keeping House KY NC
Philus S. SAYLOR Son S Male W 14 KY Farm Laborer KY KY
Matilda SAYLOR Dau S Female W 11 KYAt Home KY KY
Elizabeth BUCKHEART Dau D Female W 18 KY At Home KY KY
Josiah SAYLOR GSon S Male W 2 KY KY KY
Martha J. SAYLOR GDau S Female W 5 KY KY KY
Orvel BELCHER SonL M Male W 30 TN Farm Laborer TN NC
Sarah BELCHER Dau M Female W 24 KY At Home KY KY

The following is a list of David Belcher's children with Lucinda Saylor and Sarah Saylor. The dates of birth on his children brings up several questions.

David married Lucinda Saylor, daughter of Zachariah R Saylor and Mary Salyer, about 1869.
Children from this marriage were:
i. Mary Belcher was born in 1871 in KY
ii. Marion Belcher was born in 1872 in KY.
iii. John D. Belcher was born in 1873 in KY4 and died on 31 Jul 1927 in Harlan Co., KY
iv. Zechariah Belcher was born in Mar 1877 in KY.
v. Samantha "Cynthea" Belcher was born on 9 Jan 1877-1880 in Bell Co., KY and died on 3 Dec 1960 in Boyle Co., KY.
vi. George Belcher was born in Mar 1879 in KY.

David next possibly married Sarah Saylor, daughter of Josiah "Silas" Saylor and Elizabeth Brock.
Children from this marriage were:
+ 8 F i. Laura Belcher was born about 1883 in KY and died on 22 Jan 1964 in Harlan Co., KY.
+ 9 F ii. Martilia Belcher was born about 1886 in KY and died on 25 Apr 1950 in Laurel Co., KY.

David next remarried Lucinda Saylor
Children from their 2nd marriage were:
i. Sarah Belcher was born in Jan 1885 in KY.
ii. Huey Belcher was born in Feb 1887 in KY.
iii. Stokeley Belcher was born in Aug 1889 in KY.
iv. Amanda Mandy J Belcher was born in Oct 1892 in KY, 11 and died on 22 Jan 1968 in Garrard Co., KY.
v. William "Twin" Belcher was born in Apr 1894 in KY.
vi. James "Twin" Belcher was born in Apr 1894 in KY.

Jerry Taylor