.  Jordan R. Dodd, ed.  1998.  Marriage Index:  Illinois, 1851-1900.  Liahona Research, Orem, UT (Broderbund CD-250):

Dresmeyer, Mary	Bright, Fred	Nov 01, 1861	Randolph Co.
Dreishmeyer, Letty	Hunt, Thomas	Mar 17, 1870	De Kalb Co.
Dreffmeire, Henry	Clusmants, Anna Mary	Jan  8, 1854	Alexander Co.
Duenemeyer, Wilhelm	Hermann, Regina	Aug 22, 1852	St. Clair Co.

The first two are clearly DREISCHMEYERs; the last two could be misreadings on top of misspellings of DREISCHMEYER.

.  Census Index:  U.S. Selected Counties, 1860 (Broderbund CD-318):

1860	Dreschmaier, Diedrich	IL	La Salle Co.	Northville Town	p. 75
1860	Dresmyer, Henry	IL	Randolph Co.	Bremen P.O.	p. 871
1860	Drumier, Catharine	IL	Pike Co.	Barry Twp.	p. 796
1860	Drasuman, Henry	IL	Cook Co.	6 Ward Chicago	p. 413

The first two are clearly DREISCHMEYERs; the last two could be misreadings on top of misspellings of DREISCHMEYER.

.  Passenger and Immigration Lists Index, 1538-1940, from Gale Research, Inc. (Broderbund CD-354):

Place: America Year: 1868 Primary Individual: Dreischmeyer, Simon Heinrich Conrad Source Name: VERDENHALVEN, FRITZ. Die Auswanderer aus dem Fuerstentum Lippe (bis 1877). (Sonderveroeffentlichungen des Naturwissenschaftlichen und Historischen Vereins fuer das Land Lippe, vol. 30.) Detmold, Germany: Natursissenschaftlicher und Historischer Verein fuer das Land Lippe, 1980. 535 p. Source Page #: 206

This is the only DREISCHMEYER on the CD.  He is probably the Simon DREISCHMEYER in Wisconsin.  He is arriving too late to be the Simon who married in Santa Clara Co. or to be the Henry who immigrated to Chicago, but surely he is related to them, for they also emigrated from Detmold, Lippe.  It is not insignificant, I believe, that Fred & Anna (ROSE) DREISCHMEYER, of Santa Clara, CA, named a son, Elmer Simon DREISCHMEYER. 

.  LDS.  Family Search: Internet Genealogy Service:  IGI - International Genealogical Index (online at FamilySearch.org).

Anna Maria Eliesabeth DREISCHMEYER Christening: 28 Feb 1768, Evangelisch, Schoetmar, Lippe, Germany Father: Hans Henrich DREISCHMEYER Mother: Anna Catharina OTTO LEHBRINCK Source: Kirchenbuch, 1638-1935, Evangelisch-Reformierte Kirche Schötmar (AB. Salzuflen).

Friederica Catharina DREISCHMEYER Christening: 28 Feb 1768, Evangelisch, Schoetmar, Lippe, Germany Father: Hans Henrich DREISCHMEYER Mother: Anna Catharina OTTO LEHBRINCK Source: Kirchenbuch, 1638-1935, Evangelisch-Reformierte Kirche Schötmar (AB. Salzuflen).

ANTON DREISCHMEYER Spouse: ANNE CATHARINE DUESENBERG Marriage: 6 Nov 1803, Evangelisch, Langenholzhausen, Lippe, Germany Source: Kirchenbuch, 1684-1959. Evangelisch-Reformierte Kirche Langenholzhausen (AG. Hohenhausen).

ANTON DREISCHMEYER Spouse: MARIE SOPHIE DANCSWERTH Marriage: 25 Mar 1810, Evangelisch, Langenholzhausen, Lippe, Germany Source: Kirchenbuch, 1684-1959. Evangelisch-Reformierte Kirche Langenholzhausen (AG. Hohenhausen).

FRIEDRICH WILHELM DREISCHMEYER Spouse: AMALIE CHARLOTTE CHRISTINE PIDERIT Marriage: 30 Dec 1832, Evangelisch, Langenholzhausen, Lippe, Germany Source: Kirchenbuch, 1684-1959. Evangelisch-Reformierte Kirche Langenholzhausen (AG. Hohenhausen).

There are many DREISCHMEYERs in Preussen (Prussia).  The more common spelling is DRESCHMEYER (without the "i").

.  Jordan R. Dodd.  Marriage Index:  Michigan and Wisconsin, 1830-1900.  Liahona Research, Orem, UT (Broderbund CD-251):  none found.

.  Jordan R. Dodd, ed.  1993.  Marriage Index: AR, CA, IA, LA, MN, MO, OR, TX.  Liahona Research, Orem, UT (Broderbund CD-227):

Driemeier, Frederik A.	Hildebrand, Mary A.	Aug 12, 1848	St. Louis Co., MO
Drosselmeier, Hermann	Gordon, Wilhelmine	Oct 12, 1849	St. Louis Co., MO

These could be misreadings on top of misspellings of DREISCHMEYER.