(edited by Ivent)
The sketches, released Friday, show a girl with long blond hair, in a pink shirt and a matching skirt -- clothes she was reportedly wearing when she was found.
A forensic dentist has narrowed her age to between 2 and 3, the Galveston County Sheriff's office said.
Earlier, a self-described "cynical old cop" gently held a tiny shoe decorated with purple flowers as he begged for help in identifying the dead child Galveston police have dubbed "Baby Grace."
"She is more to us than just a case number, more to us than just an unidentified body. She is very much a human being," said Maj. Ray Tuttoilmondo of the Galveston County Sheriff's Office.
"She is someone's child, someone's grandchild, someone's cousin, someone's best friend, and to us, that is the most important part about this case," Tuttoilmondo said.
"We have adopted the name of Baby Grace because, there again, that is part of the emotional part of this case for us," he said, holding the sneaker identical to one of those the child was wearing when she was found Monday.
A fisherman became very upset after discovering the girl's body, in a large blue Sterilite plastic container, on an uninhabited island in Galveston's West Bay, Tuttoilmondo said.
Contact Sheriff's OfficeTo offer tips, contact the Galveston County Sheriff's Office at 409-766-2222 or 866-248-8477.
A fishing tournament with hundreds of contestants was held over the weekend in the area where the girl's body was found. Police said they hope to track down contestants who may have seen something. Some of them may have fished near the site of the discovery.
"If we can get to every single person, that's exactly what we're going to do," Tuttoilmondo said.
The Galveston County medical examiner has said the child suffered skull fractures, but that he found no other broken bones.
"Anything relating to chronic abuse, old injuries, things like that, those are parts of the investigation that we still need to look at," Tuttoilmondo said.
The Houston Chronicle reported that the medical examiner said the girl had been dead for at least two weeks when her body was found.
"I don't often make an appeal of emotion, choosing to stick with the facts of the case as we should," Tuttoilmondo wrote in an e-mail to local reporters.
"However, a case such as this draws out emotions in all that touch it, even us cynical old cops. I ask that you buck the system and include the emotions you, like me, are experiencing in looking at this case, as a parent, a child, one who has children as part of your life or just as a human being."
Police have received hundreds of calls about the case, he said. "A number of them we followed up on have led us to go check on other children. Fortunately, we found all of them safe and sound, but nothing that's absolutely made a home run hit yet."
Other callers have wanted to know how they can help. Some have offered to donate graveyard plots for the child and have volunteered to help sift through information.
"The community where we are is a very close-knit, solid community, and they're all more than willing to help," Tuttoilmondo said.
Tragic. God bless that baby.