It should be noted that John F. Lyman was a common name at the time.
Possible 1910 Census: https://www.familysearch.org/ark:/61903/1:1:M2LH-F5R , showing imprisonment.
Newspaper article showing conviction for arson: https://www.geni.com/documents/view?doc_id=6000000184422015964&graph_node_id=profile-34793054709&mode=tagged
He does not appear in his wife's 1910 census document: https://www.geni.com/documents/view?doc_id=6000000184399502082