From their headquarters in Brooklyn, N.Y., Teddy Lichtschein and Eliezer Scheiner operate some of the most poorly rated nursing homes in Texas. Their small empire has amassed more than $800,000 in federal fines over the past three years. Regulators reported numerous problems. One patient who fractured his leg waited four days to have his broken bone treated. Another resident, given food he could not chew, choked to death in his wheelchair. An 80-year-old woman with rectal cancer screamed in agony for two weeks before attendants phoned her doctor. Despite this record, Lichtschein and Scheiner have new partners in the nursing home trade: seven public agencies, which could position the Brooklyn duo for a taxpayer-funded windfall.