Will porcelain veneers work for me. When I was younger I sucked my thumb.

Thank you for your question. Without an in-person exam I wouldn't be able to give you a truly accurate assessment, but I can suggest a treatment based on what I've done for patients with similar issues. 
Unfortunately, for an anterior open bite due to thumb sucking the only proper way to correct it is with orthodontic treatment. While veneers may improve the shape and color of your teeth, it wouldn't correct the flared out alignment that was caused by the thumb sucking. Orthodontics/braces would most likely correct the anterior open bite and help the lisp.
Again, the best way to go is to schedule an in-person exam with an orthodontist or dentist who has experience in this field. 
Best of luck!
Dr. Neil Hadaegh
#beverlyhillsdentist
#cosmeticdentist 

Yes, porcelain veneers offer a conservative way to fix your open bite. Restoring the length to your front incisors with help you eat and speak better. Having upper teeth connect with the lower ones when biting makes it easier to chew and bite into foods. When your central incisors are the proper length, you'll be able better pronounce words that start with " S and F " 
See an expert cosmetic dentist who has successfully treated cases similar to yours.

Hi:Unfortunately without photos it is very difficult to give you accurate advice.  Generally Veneers or othrodontic treatment can help with an open bite.Best,Dr. Maddahi