Here is a handsome African-American family group that is a mother and three children. Note the man's hat on the floor, suggesting the father may have died.
Nearly a year and a half after posting this, we have an identification! This is the Rimm family from Refugio. Lizzie Rimm is the mother, seated. Left rear is Lorenza Rimm, right rear is Mack Rimm. The kneeling girl is Frankie Elma Rimm, who married Andy Spriggs 1907 in Refugio. She was born 25 Jan 1889. The father of this family was Edwin Rimm. He died fairly young. The hat indeed represents him.