The Dallas Police Department is asking for the public’s help in identifying not one but two dudes who abandoned their dogs off Dowdy Ferry Road. In Texas, abandoning a dog is considered animal cruelty. The penalties for abandoning a dog in Texas can include: Misdemeanor – Abandoning a dog is a Class A misdemeanor in Texas. If convicted, a person can face up to a year in jail and up to $4,000 in fines. That’s something but it’s not enough.