Curiosity got to me......
I encourage you to check out the ssa.gov website. I found this about work credits......
"The number of work credits you need to qualify for disability benefits depends on your age when you become disabled. Generally, you need 40 credits, 20 of which were earned in the last 10 years ending with the year you become disabled. However, younger workers may qualify with fewer credits"
This is the list for credits needed by age
http://www.ssa.gov/dibplan/dqualify3.htm
If your credits are low, you may qualify for SSDI but not as high an amount as you would have if you had worked more. It might also turn out that you don't have enough credits to earn dependant benefits for your daughter.
To be sure about the amounts, you should check with SSA.