Martha, there are several Henrys and Daniels in this family...
Daniel, b. 1787 in Orange Co, NC, was my 3-gf. Births of most of his and wife Phebe's children are documented in the Friedens Lutheran Church Records (originally in German, now transcribed into English) which is near Gibsonville, on the Guilford / Alamance County line in NC.
I found the translation at the Greensboro NC Public Library. NC State Archives has a copy of the original in German. The Church also sells a copy of the original (but not the translation).
Church Record for Henry (who married Mary "Polly" Carmack:
Heinrich Kachelriess, born 6/30/1823, Bapt. 9/30/1823.
Parents: Daniel Kachelriess / wife
(Source: Friedens Lutheran Church, Orange County, Gibsonville, NC; Records 1802-1848, page 41)
1845 - Henry Reece m. Mary M. Carmack, 9/13/1845, Guilford NC (Marriage Bond)
1850 - Henry Cockbreece, NC Federal Census, Southern Division, Guilford Co, family 80:
Henry b. 1825 in Orange County;
Polly (Carmack) Cockbreece b. 1829, and Daniel Cockbreece b. 1847 in Guilford;
Polly Carmack (Sr) (mother of Polly Jr.?) b. 1780 in Craven County NC (Note - age of Polly Sr. conflicts with 1860 census)
1860 Census - NC, Guilford County, South Division, Greensboro PO, family 1026:
Henry Reece, 35, farmer
Mary M., 27
Mary E., 8
Alfred R., 4
Mary Carmack, 60
E-mail me privately at email@example.com
and I'll send you more...