Lambert Braxton Family

I am researching the Lambert family who married into the Braxton family. Martha Lambert d/o John Lambert and ? Blackman. Martha Lambert was born 1844 in Florida, per her death cert. And her father John Lambert was b. in AL. Her mother ? Blackman was born in GA.

Martha Lambert married Benjamin Braxton.

If you have any info on John Lambert and ? Blackman, please let me know. I have been looking for several years for John Lambert's parents. Thank you. Della