Darcy, a blind lamb at Doncaster’s Manor Estate Farm, was also born with a severe heart defect but became popular with staff and visitors.
However, last week, the agonising decision to put her to sleep was taken, leaving staff devastated.
A spokesman said: “On Friday, we had to make the heartbreaking decision to let Darcy go.
"Darcy had battled many health problems since birth – unfortunately the bad days outweighed the good days and along with our vet, we decided it was time to set her free.
"Darcy passed away peacefully. Darcy will never be forgotten by any of us at Manor Estate Farm or by all our supporters.
"Darcy touched so many peoples lives and we have received some lovely messages of condolence."
The eight-month old lamb was born without eyeballs earlier this year.
Her memory will now live on in a fundraising calendar which is now on sale at the Toll Bar farm.
Earlier this year, a campaign was set up to raise funds to buy a shelter for Darcy, giving her a safe place to graze during her lifetime.
Ami Downs, who set up the farm a year ago when she was just 18, said in June: “We are very aware that Darcy won’t have a long life, but we are determined to give her the best life possible as this is what she deserves.”