A family is now trying to make arrangements for the young daughter of a missing Hobe Sound mother 
 
 Tricia Todd has been missing since Wednesday and now her family is trying to decide who will take care of the two-year-old. 
 
 Tricia's mother Rebecca Hasselbach was going to ask a judge to get temporary custody of her granddaughter but she withdrew her motion and says that Tricia's brother will now be the one trying to get custody. She believes the little girl is better suited to stay with his family 
 
 Tuesday is the sixth full day of searching for Todd. 
 
 "I’m very, very grateful for all the volunteers and for just the overwhelming response from the Martin County (Sheriff's Office). They're really awesome,” Hasselbach said. 
 
 The Martin County Sheriff's Office says her car was found near her home with her keys and purse inside and her disappearance remains a mystery. ||||| Florida investigators have found no significant breaks in the case of a mother who went missing last week, but said Tuesday they gave a lie detector test to her ex-husband and haven’t found any evidence linking him to the disappearance. 
 
 "It’s a very, very perplexing and mystifying case," Martin County Sheriff William Snyder told reporters at a news conference Tuesday, nearly a week since Air Force veteran and hospice nurse Tricia Todd vanished. 
 
 Todd, 30, was supposed to pick up her 2-year-old child from her ex the morning of April 27 but never showed, authorities said. Her car was found near her home in Hobe Sound, about 25 miles south of Port St. Lucie, with the keys in the ignition and her purse inside, it said. Her cell phone was missing. 
 
 At around 4 a.m. Tuesday, a detective, two lieutenants and an assistant state’s attorney interviewed Todd’s ex-husband in North Carolina and he voluntarily submitted to a polygraph test, Snyder said. The ex is the last person who reported seeing Todd early April 27. 
 
 Related: Grocery Store Surveillance Image Shows Missing Mom In Apparent 'Good Spirits' 
 
 "Nothing in [the ex husband’s] lengthy interview — and it was a long and detailed interview — nor his polygraph exam indicated that he was involved or had any additional information about Tricia Todd’s disappearance," Snyder said. 
 
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 The ex-husband was seen on video buying gasoline at around 1 a.m. before she disappeared, but he told investigators he got the gas for Todd because she was running low on fuel in her car, and that was corroborated, Snyder said. The gas tank in Todd’s car was drained and only a few gallons were found inside, consistent with that account, he said. 
 
 There is no hard evidence that a crime occurred, Snyder said, and a ground search will be scaled back but the investigation will continue. There has been no activity on her phone or credit cards that has been discovered, Snyder said. 
 
 "A person who is supposed to go home at a certain time, wake up at a certain time, pick her daughter up at a certain time doesn’t do that," Snyder said. 
 
 Tricia Todd went missing Wednesday, April 27, after she failed to pick up her child, authorities said. Martin County Sheriff's Office 
 
 "That’s a circumstantial case that there was an abduction, except that some of the elements of what you would see in an abduction are missing — nobody heard screams, there’s no physical evidence in any of the cars involved, any of the houses involved to indicate a scuffle, trouble, abduction," he said. 
 
 "Circumstantially, very suspicious," Snyder said. "Forensically, nothing." 
 
 Todd has never been out of contact for an extended period of time since having the child, Snyder said. He appealed to anyone who may have had conversations with Todd or received other information like an email to come forward. 
 
 "As of now there are no suspects, there is nobody that we can link to Tricia Todd’s disappearance," he said. ||||| Young Mother and Air Force Veteran Mysteriously Vanishes: 'She'd Never Leave Her Daughter,' Says Friend 
 
 The surveillance video is unremarkable: Tricia Williams Todd, a 30-year-old Air Force veteran, mother and nurse, purchases some groceries at a Publix in Hobe Sound, Florida. She smiles happily and chats with the clerk.That was the evening of April 26 – the last time that Todd was seen in public.Later that evening, Todd met her ex-husband, who was spending time with their 2-year-old daughter. According to police, Todd dropped off some medication for the toddler.Todd didn't show up for work the next morning at the Treasure Coast Hospice, where she worked as a nurse. When she didn't pick up her daughter later that afternoon, her father called authorities.Police soon found Todd's car, purse and keys, but no trace of the 5'4, 110-lb. redhead. Her wallet and cell phone were missing, but there has been no activity on her credit cards. Investigators searched a five-mile radius but turned up nothing. The Sheriff's Office tells PEOPLE that "no significant leads" came from the ground search.The disappearance has baffled those close to Todd. "She would never have left her daughter on purpose," family friend Michelle Rocker tells PEOPLE. "That baby was her entire world. She'd never leave her and run off."The family has set up a Facebook page to post and gather updates on the case. A Crowdrise fundraising page has been established to offset the expenses for the family's search.Todd's former husband is stationed at an Air Force base in North Carolina. He has returned to the base from Florida, but remains in contact with investigators. Sheriff William D. Snyder of the Martin County Sheriff’s Office told WPBF that he has been very cooperative with investigators."This is still an active search," said Snyder. "We have no plans to stop searching for Tricia Todd."
– Police have now conducted a "long and detailed interview" with the ex-husband of missing Florida mom Tricia Todd, but they say they're no closer to figuring out her whereabouts. "Nothing in [Steven Williams'] lengthy interview … nor his polygraph exam indicated that he was involved or had any additional information about Tricia Todd's disappearance," Martin County Sheriff William Snyder tells NBC News. "It's a very, very perplexing and mystifying case." Todd, an Air Force veteran and hospice nurse, was reportedly last seen by Williams early on April 27 when she dropped off medication for their 2-year-old daughter, per People. She didn't show up for work the next morning or to pick up the child later in the afternoon. Williams, who was filmed buying gas at 1am on April 27, told investigators he bought fuel for Todd because her car was running low. Authorities say that checks out: Todd's car had only a few gallons inside when it was found near her Hobe Sound home with the keys in the ignition. There has been no activity on Todd's phone or credit cards. "That's a circumstantial case that there was an abduction," says Snyder, noting a ground search will be cut back after nothing was discovered within a 5-mile radius. A friend says simply Todd "would never have left her daughter on purpose. That baby was her entire world." Todd's brother will file a motion for temporary custody of the child while Williams is on military duty in North Carolina, per WPTV. (This is the last known photo of Todd.)