I checked the birth records for Hocking County for Ayers babies. I found only one child listed for Lace and Jennie. That was John Ariel born 4-4-1903. I found children for Isaac and Samantha, James and Rose, and Albert And Nora. The families all lived in Ward Twp.
Johns Birth record said Lace was born in Vinton County. You might check Athens County for other possible births. If you have a copy of the funeral home records, or the obit, they maight tell you if there were other children. Lace was listed as a miner on John's birth record.
If you would like a copy of John's birth record you can order it from the Hocking County Records Dept. 51 E. Main Street (basement) Logan, Ohio 43138 Enclosed $1.00 and SASE The information is in Reg. Book 18, page 47 Kay Wilson