Ciaran Leigh Morris was being walked down Brownhills High Street on Easter Sunday by his parents when a BMW hit the pram and pinned it against a wall after colliding with another car.
While floral tributes, ribbons and messages have been left at the scene, a JustGiving page has been created to support the family.
Its initial target of £2,000 was surpassed on Monday afternoon, and by Wednesday afternoon the total had topped £27,900. Around 1,900 people have donated so far.
In an emotional tribute to their baby, Ciaran’s parents Camaron Morris and Codie Holyman said: “Mommy’s and Daddy’s hearts will always ache, we love you more than anything.
“We didn’t get to keep you for long but we are happy we had the chance to meet you, look after you and call you our son.
“Fly high angel.”
A 34-year-old man charged with causing Ciaran's death appeared in Wolverhampton Magistrates Court on Tuesday.
James Paul Davis, of Croxtalls Avenue, Walsall, is charged with causing death by dangerous driving, causing death by driving while uninsured, leaving the scene of a collision and failing to report a collision. He will next appear at Wolverhampton Crown Court on May 4.
To donate to the JustGiving page, visit www.justgiving.com/crowdfunding/brownhills-rtc-04-04.