In Missouri, Mr. Lester, who lived alone, told the police after the shooting that he fired his gun because he saw someone on his front step apparently trying to enter and was “scared to death” of being physically harmed. Zachary Thompson, the Clay County prosecutor, said that there was a “racial component” to the shooting but did not elaborate. Mr. Lester is white; Ralph, who was released from the hospital and is now recovering at home, is Black. In New York, a lawyer for Mr. Monahan, Kurt Mausert, disputed the authorities’ account of the shooting on Saturday night, saying that several vehicles were speeding up Mr. Monahan’s driveway, with engines revving and lights shining, which “certainly caused some level of alarm to an elderly gentleman who had an elderly wife.”As the two men made court appearances in Missouri and New York, basic outlines of their histories were emerging from neighbors and relatives. Neighbors said that Mr. Monahan, a self-employed builder and longtime resident whose home sits on about 40 mostly wooded acres, had a reputation as a sometimes surly character who loved dirt bikes and largely kept to himself.

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