My mother was adopted but i have no information to find her birth parents, what should i do to find them?
She was born in 1957 in Florida that's all I know. I do not know any other details except the names of the people who adopted her.
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This is a classic application of DNA testing. Have your mother take an atDNA test at Ancestry (which will allow to to transfer her results to many other sites) and prepare to put in some hard work analysing her matches to track down her birth family.
I'm suggesting Ancestry because they allow DNA data to be exported for import to other sites (which widens the pool of potential matches) but they don't allow imports; so starting at Ancestry gives you the widest possible set of matches.
There are Facebook groups that specialise in helping adoptees looking for their birth families, such as DNA Detectives. It's worth joining to try and find somebody who will guide you through the process.