This is the line that I have followed; for Charles/Karl/Carl Bigler/Biegler up to the present time; May 2011.
Charles Biegler's Birth:15 Feb 1834 Saxony, Germany

Carl/Charles Biegler age 21, left Bremen, Germany aboard the Ship Hindu, traveled to St. Thomas, VI & embarked port of ST. Thomas aboard the Ship “Bark A.S. Hill” Arrived Baltimore, USA 18 August 1854.
[source: Baltimore Passenger Lists, 1820-1948 Record for Carl Biegler]
NOTE: there is another Biegler on the same ships list page as Carl (I could not read the first name)

1860 US Census": 12 Jul 1860 Frankfort, Wright Co. Minnesota
Charles age 25.

Charles Biegler married: ca. 1864 Ernestine/Ernestina Kemph,Kempf b.24 Jun 1837 Prussia.
Ernestine Kempf arrived on the Ship; Hermine, Port of Baltimore, 16 December 1861, Port of Departure; Bremen, place of origin, Germany.

Ernestine Died: 16 Nov 1896 MN. buried: Immanuel Lutheran Cemetery, Buffalo, MN.
Tombstone for Ernestine reads: wife of C.Biegler

This couple had 6 children that I have been able to track. The family lived from 1870 in these counties of Minnesota.
1870 Rockford Twp. Wright Co. Minnesota
1880, 1881, Greenwood, Hennepin Co. Minnesota
1885, 1895,1900 Rockford Twp. Wright Co. Minnesota
1905 Charles was living w/son in Monticello, Wright Co. MN
Charles Biegler supposedly died January of 1910 MN.
the latter info. I only have one source for.

A Biegler researcher has a Frederick Biegler b. 10 Sept 1873 MN & d. 20 Oct 1873 MN child of Charles & Ernestine I have never found this myself however.

Note: I have no idea where the researcher found this Frederick, it may have been through the LDS Family History Library, in Boise, Idaho.

If I were you I would try checking more on the ships list that Charles/Carl Biegler was on. I simply could not read the other Biegler's first name, its down a ways from Charles/Carl's. Charles is an anglicized version of Karl. It was more often just changed to Carl

All of the info on the Biegler line I have researched the families, mostly stayed in MN, ND. & one branch moved to Montana after 1935.

Good Luck, it was quite a challenge for me to research German names in MN. almost every document the German names are spelled different to some degree, be sure you keep that in mind.