You're pretty much talking about modern family history, so are in luck...there are many records available for this timeframe. As you know your Mother's birth date, obtain a copy of her birth certificate....you'll need to do some research and see what's involved, as all areas are different...start with the county level.Ditto for her death certificate (unless you are the one to fill it out and KNOW what's on it)...in general, death certificates give place of birth and parent's names). As you give no inkling of your Mother's birth date, it's impossible to suggest which Federal Census to look in, but armed with that date, you figure the earliest year she would have been alive, in the household of her parents, on a regular year 1880, 1890, 1900, etc...she will be listed by name in that household, which will give you the names of her parents and their ages, plus any siblings that are older than she is.You also don't give an idea of how OLD she was in 1980...she could have been 100, or 45...makes a big difference how you proceed and where you look...so, when placing a query you need to ALWAYS include the following 3 items....full name, given and surname, geographic location, and some sort of a date. Twoinvaluable pieces of advice my genealogical guru gave me, many years ago...(1)don't move along to a further generation until you prove the earlier one, with your own primary documentation..so, prove your parents, then your grandparents, then move to the next generation...don't skip around2) don't believe ANYTHING unless you have the proof IN YOUR OWN HAND. (the internet is absolutely fill to overflowing with incorrect information passed along as FACT...so, don't believe it unless you have proven it, with primary documentation (that is, birth, death, marriage, census, church, etc records) This will get you started in the right direction... however, as you don't seem to have any real ideas on how to proceed, go to the library and see what sort of books you can find on genealogical research.There are very general starting points, as I've included above, but I think you'd benefit from some genealogical reading....good luck, and have fun.