Collins - Charles Martin birth place.

For awhile now I've been trying to determine the birth place of Charles Martin Collins.  Census records stated Illinois which matched his father's obit info.  The Collins family did not live in Illinois  long making it harder to find an exact location.  At googlebooks I found a book called: Minutes of the Illinois Baptist Pastoral Union. On page 39, is a listing, showing S.L. Collins as the pastor of Prairie Centre, and Earlville Baptist Churches in what appears to be about 1857, (the year Charles Martin Collins was born).  Both of these towns are in LaSalle County.  C.M. was born, 15 May 1857, and by Jan of 1859 (birth of Ahira Mark Collins), they had moved to Brownville, Nemaha Co., Neb.