The US Gen Web page for Tucker County, http://www.rootsweb.com/~wvtucker/http://www.rootsweb.com/~wvtucker/ has a search page. It gave me 55 hits for Lloyd Day. Some are false, but at least one is about your family:
Hazel Ruth Day Armentrout, 93, a native of Gladwin and a resident of the Ashe Living Center at Jefferson, NC, died June 21 at the center. She had been in declining health.
She was born Sunday, Sept. 4, 1910, at Gladwin, the daughter of the late Lloyd G. Day and Minnie May Long Day.She was married to Byron Armentrout, who preceded her in death.
Surviving are a son, Harlon Armentrout of Lansing, NC; a grandson, Timothy Armentrout of Lansing; three granddaughters, Patricia J. Rankin of Stark, FL, Ellen Ruth Gambardella of Moravian Falls, NC, and Brenda Beeman of Lake Butler, FL; five great-grandchildren and two great-great-grandchildren.
She was the last surviving member of her immediate family and was preceded in death by three brothers, Charles Day, Theodore Day and Harry Day; four sisters, Marie Hertig, Charlotte Hull, Elva Parsons and Geraldine Day.
She attended the school of Harman, worked for the American Plant and Food Co. of Washington, DC, and attended the Phoenix Baptist Church at Lansing, NC.
The family received friends at the Lohr & Barb Funeral Home of Parsons with the Rev. John Morrison officiating and interment followed at the Parsons City Cemetery at Parsons. ====================================
You might repeat the exercise. I didn't wade through all 55 because I wanted to share the fun with you.