Here's the household in 1860, census of 1st district, Putnam TN (with ages and POBs):
Numerous FS trees give 1864 as marriage date, none has documentation. Oldest child seems to be born about 1841, so that date is unlikely. This census suggests Martha was born later than 1845.
Year: 1850; Census Place: District 10, Jackson, Tennessee; Roll: M432_885; Page: 273A; Image: 234
Year: 1860; Census Place: District 1, Putnam, Tennessee; Page: 2; Family History Library Film: 805269
Year: 1880; Census Place: Woodbury, Butler, Kentucky; Roll: 406; Family History Film: 1254406; Page: 395C; Enumeration District: 110; Image: 0312
https://www.findagrave.com/memorial/19717057
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B > Bullington | G > Garrison > Martha E (Bullington) Garrison