Welcome to genealogy!I wish I had started when I was your age: I knew my great grandparents as a kid, but of course never thought to talk to them about their ancestors and lives.It's amazing what you can learn.
I would suggest that you start with the following:Go to the SSDI index (Social Security Death Index) and find your grandparents.You can do that for free athttps://www.familysearch.org/search/collection/show#uri=http://hr-search-api:8080/searchapi/search/collection/1202535 . This will give you the death dates and locations for your grandparents.For instance, there are 5 or 6 Beatrice Tolberts who died in your lifetime.I don't know which one could be yours.
Take down all of the information and NOTE THE SOURCE WHERE YOU GOT IT. This is important - even though it seems a bit tedious.(I wish I had known this when I started...)Some sources are better than others.
The SSDI may tell you where Beatrice and Lawrence were born.You think she was born in Ville Platte (which is a small city in the very middle of LA), but she could have been born out in an even smaller town and just grew up in Ville Platte. Or, she could have been born in the bigger cities of Opelousas or Alexandria (probably the nearest hospitals).
Next, you can look online for marriage records.Where and when were Beatrice and Lawrence married?This'll give you an idea about when they were born (if you don't know).Try to find a copy of their marriage certificate.You can order this, usually, from the State or the Church where they were married.Chances are, because of your age, they were born sometime around 1950 (not that much older than me, sheesh!) which will mean that they will appear on census records after that.
Problem is: it's hard to get census records after 1930.Sometimes, you have to go to a library and look at microfilm.Older census records may be online - just googlesomething like "1920 census ware ga" and see what you get.But, our goal here is to figure out where and when they were born, especially Beatrice (but you might as well track Lawrence, too...).If they were born in 1950, they were kids in 1960 and probably living with... their parents.And their parents' info will be in the census record.Keep working backwards, documenting as you go.
Maybe someone else will give you better info about the 1950 and 1960 censuses.I've never had to look for them.But if you can work your way further back, most of that stuff is online and easy to get to.
Hope this helps!
Good luck, Dennis Lee Wimberley, TX
P.S. One of the Beatrices died in Houston in 2005.She was born in 1923, which means she should show up on the 1930 census, which you can see online.Is this your Grandmother?Also, if YOU are in Houston, you might go check out the Clayton Library down in the museum district.They may have microfilm of later censuses; it's a good genealogy library.