Rosalie Woodson Collins: Meyers or Meyer.
Reported name on small ancestry chart of Elizabeth Woodson Miller is Henry Meyer.

Possible immigration records from New York Passenger Lists 1820-1957 (ancestry.com):
(1) J. Hein Meyer arrived 16 Jan 1854 in New York City aboard HMS(?) Continent sailing from Liverpool. Listed as age 31, male, Place of origin Germany, destination Germany [obvious error], #417 of 493 passengers.
(2) Hinrich Meyer arrived 18 Oct 1852 in New York City aboard Minna, sailing from Bremen. Listed as Hinrich Meyer, age 29, occupation "zimmermann"[= carpenter], from Mehringen.
(3) Heinr Meier, arrived 30 Nov 1852, SS Barq Elbe, sailing from Hamburg, age 25, male, farmer, from Germany.

1850 US census, Pennsylvania, Philadelphia Co., Kensington Ward (8th):
Henry Myers, 27, Engineer(??), b:Germany
Hannah --, 31, b:PA
Emaline --, 4, female, b:PA
Louisia --, 2, female, b:PA ["Louisia" is clear in the image]
Henry Baskey, 26, Labourer, b:Germany
[No value liste for real estate owned]
[Hannah is listed as a person over 20 who cannot read or write]

1860 US census, New Jersey, Cumberland County, Bridgeton Township, Bridgeton Post Office:
Henry Meyers, 37, male, Farmer, b:Prussia
Hannah Meyers, 42, female, Wife, b:PA
Amelia --, 14, female, b:PA
Louisa --, 12, female, b:PA
Charles --, 9, male, b:PA
Matilda --, 7, female, b:PA
[Value of real estate (none reported), value of personal estate, $250]
[Amelia, Louisa, Charles and Matilda all attended school at least sometime in the previous year]
[But where is Elizabeth, who should be aged 5??]
------next door neighbors who might be relatives-----------------------
Christian Meyers, 52, Soap and Candle Maker, $5000, $500, b:Prussia
Charlotte Meyers, 33, Wife, b;Prussia
Christian --, 15, b:Prussia
Emma --, 10, b:NJ
Caroline --, 7, b:NJ
Samuel --, 5, b:NJ
John --, 2, b:NJ

1870 US census, PA, Luzerne Co., Scranton, 5th Ward, P.O. Hyde Park (images 6&7/117 ancestry.com) 4 Aug 1870
Henry Meyers, 47, Patent-Right-M, $4000, $1000, b:Prussia, father and mother of foreign birth
Hannah Meyers, 53, Keeping house, b:PA, father and mother not foreign born
Matilda Meyers, 16, At home, b:PA, father of foreign birth (not mother)
George Smith, 22, Locomotive Engineer, b:PA, father of foreign birth (not mother)
Louisa Smith, 22, At home, b:PA, father of foreign birth (not mother)
Mellie(?) Smith, 2, b:PA
[interpretation: Louisa is married daughter of Henry and Hannah with child Mellie(?).]

1880 US Census, Pennsylvania, Lacawanna Co., Scranton City, 5th Ward, District 1, Jackson Street
Henry Myers, head of household, b:<1823> Prussia, age 57, Laborer, married, father b:Prussia, mother b:Prussia
Hanna Myers, wife, b:<1820> PA, age 60, Keeping House, married, father b:PA, mother b:PA
M. Myers, daughter, b:<1854> NJ, age 26, At Home, single, father b:Prussia, mother b:PA
H.M. Dickson, grandson, b:<1868> PA, age 12, At School, single, father b:PA, mother b:PA

1890 census substitute, Scranton, Pennsylvania Directories, 1890-1892 (ancestry.com):
Henry Meyers carpenter 2637 Jackson Scranton PA 1890
Henry Meyers watchman 1823 Jackson Scranton PA 1890
Henry Meyers carpenter 914 Maple Scranton PA 1891
Henry Meyers watchman 1823 Jackson Scranton PA 1891
Henry Meyers 1823 Jackson Scranton PA 1892

From "baby book" of granddaughter Elizabeth Woodson Miller, grandfather's name is Henry Meyer.

Possible burial plot, Forest Hill Cemetery Lot, Scranton, PA:
Meyers, Henry, 75 years, b Germany, 6 Aug 1898, Anemia, male (puts birth year at 1822-23). No indication of other family buried with him.

Possible burial plots of son or relatives, Pittston Avenue Cemetery, Scranton, PA:
MYERS Joseph February 7, 1845 October 8, 1906
Fred'ka March 27, 1845 December 14, 1929
Francis May 23, 1885 September 7, 1883
William 1877 1950
Hanna No dates on stone

1. Elizabeth MYERS b: abt 1855 in Pennsylvania
2. Matilda MEYERS b: abt 1854 in PA
3. Louisa MEYERS b: abt 1848 in PA
4. Amelia MEYERS b: abt 1846 in Pennsylvania
5. Charles MEYERS b: abt 1851 in Pennsylvania