<Li> Good Hank Jeffrey "G.H." Hill--G.H. is Cotton's and Didi's infant son, and the younger of Hank's two half - brothers . G.H. is an abbreviation for "Good Hank," implying that the original Hank was unsatisfactory to his father . Cotton treats G.H. much better than Hank presumably because Cotton sees him as being his second chance of being a better father than he was for Hank . G.H. was key at a time when Hank had to convince Cotton not to end his life as well as to permit Hank to give his father money for the baby's sake (and as payback for the years Cotton raised him). G.H. was absent at the time of his father's death, and is not seen throughout the rest of the series, although it is presumed he is living with his mother and stepfather . </Li> <Li> Matilda "Tillie" Mae Hill Garrison (voiced by Tammy Wynette in 1997--1998, Beth Grant in 1999, and K Callan in 2000--2009)--Tillie is Cotton's first wife and Hank's mother . She divorced Cotton after suffering years of verbal abuse . Tillie is a kind woman who collects miniatures because they made her happy during Cotton's abuse . Hank is often over-protective of her, fearing she is too old and fragile to go out and do things on her own . Tillie lives in Arizona with her husband Chuck, having formerly lived with her Jewish boyfriend Gary (voiced by Carl Reiner). Tillie's legal name varies during the series . She is listed as "Tillie" on Hank's birth certificate, but is addressed as Matilda by the clergyman during her wedding to Chuck . </Li> <Li> Elroy "Lucky" Kleinschmidt (voiced by Tom Petty)--Lucky is Luanne's itinerant, but generally benign redneck husband, and is the father of Luanne's child . It is often hard for Lucky to hold down a job (he has no credit or Social Security number). He lives on the remainder of the $53,000 "settlement monies" he received after "slipping on pee - pee at the Costco" having had a portion of his spine fused . He was nicknamed "Lucky" after the settlement windfall . After he spent a majority of his money customizing his truck, his finances dwindled down to nine thousand dollars but regained another $53,000 when an ambulance chasing lawyer paid off Lucky to avoid a lawsuit . Peggy tried very hard to break him and Luanne apart, but after Luanne's pregnancy was revealed, she and Hank reconciled the two, giving them a shotgun wedding at Lucky's request . He is also one of the guitarists for John Redcorn's band "Big Mountain Fudgecake". Although dimwitted in some aspects, Lucky has learned some facets such as basic math through life experience as opposed to formal education, and was astute enough to deduce that his father - in - law spent time in jail whereas Luanne believed the story that he works on an oil rig . He yearned to receive his GED but only to prove he was good enough to marry Luanne . </Li> <Li> Gracie Margaret Kleinschmidt--Daughter of Lucky and Luanne . She was born in the season 13 episode "Lucky See, Monkey Do". Luanne originally wanted to name her Lasagna (stating that lasagna was their favorite food) while under the influence of hospital analgesics, but choosing a more conventional name after she had recovered . </Li>

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