You used the phrase "If Living", first of all check the U.S. Social Security Death Index and look for an obituary.

Google her name, use quotation marks " ", quotation marks tell google to search for exact matches, so "John Doe" will search for all John Doe's, use astericks also, " * ", the * stands in place of a word, so in this case, it will be a middle name. Also try "John (Middle Name) Doe," OR "Doe, John (Middle Name)"
the capital OR tells google to search for either.

A few sites I used for living relatives:

www.ussearch.com
www.usa-people-search.com
www.lookupanyone.com
www.peoplefinders.com
www.peoplesearchnow.com
www.publicrecordsnow.com
www.peoplelookup.com

These sites gives names, age, last places lived (city,state), and possible relatives.

If you haven't tried Ancestry.com yet, they have a US Public Index that gives addresses of people that span the last 30+ years, punch in the person's name and it may give you other places they lived. If you punch in address, it can tell you others who have lived at that address.

As with dead relatives, you have to know Names, date of births, places lived, and relatives. Addresses are good to, use that also when googling her name, perhaps there's a document that list her address next to her name, I see that a lot with people who live in D.C.

If she is no longer living, it will be hard, as some sites just basically delete information on that person and just leave their name, check death records first.

Check in Maryland also, not unusual for people to move from one to the other. Pay attention to the area they lived in, like N.E/W or S.E/W, they may be still in that area.