The biggest problem is that Meyer/Meyers with the many variant spellings is a very, very common Pennsylvania German surname. In many ways it rivals Schmidt/Smith and Miller/Muller in popularity. I not sure how you were able to trace back so far without many birth and death dates, but here is what I came up with.
I found a Henry Meyers who was born July 14, 1890, died Dec 1976, last lived in Lititz in the Social Security Death Index. His World War I draft card shows Henry Clayton Meyers was born July 14, 1890 in Rohrerstown. The 1900 census from East Hempfield Twp., Lancaster County includes Clayton K. Meyers, born July 1890, as the son of Henry M. Meyers, born June 1852, and Sarah, born April 1856. They were married 23 years and Henry's parents were born in Germany. Several other children are listed.
The 1880 census for the same location shows Henry Meyers 29 and wife Sallie 24, no children.
The 1860 census for the same location shows Henry Myer 30, born in Prussia, Miena (sp) 33, born in Prussia, Henry 8, with other children. The 1870 census shows the same family except no Henry Jr. The 1880 census shows the same family in Rohrerstown. I could not find Henry Sr and Minnie in the 1900 census.
Some of these records you can look at for free at labs.familysearch.org and Ancestry.com. For those you cannot see for free I suggest checking with your local libraries to see if they have Ancestry or Heritage Quest.
I suggest contacting the Lancaster County Historical Society and perhaps the Lancaster Family History Center to see if they can help you. They might be able to find death dates and obituaries. The death certificate for Henry Meeting Meyer will help to confirm the connection and to find out what his mother's maiden name was.