The birth of the daughter, Hannah, places this family in Texas in 1842.Here is an entry from the Cherokee County Tax List for 1846.
This is really early for Texas!
Name: Spencer Adams State: TX County: Cherokee County Township: No Township Listed Year: 1846 Record Type: Tax list Page: NPN Database: TX Tax List Index, 1840-1849
Source Information: Jackson, Ron V., Accelerated Indexing Systems, comp.. Texas Census, 1820-90 [database on-line]. Provo, UT, USA: MyFamily.com, Inc., 1999. Original data: Compiled and digitized by Mr. Jackson and AIS from microfilmed schedules of the U.S. Federal Decennial Census, territorial/state censuses, and/or census substitutes. About Texas Census, 1820-90 U.S. Federal Census indexes (and other related census indexes) for Texas from 1820 to 1890