Uncle:  Tobias ROCH (1856-1940) — of Diespeck, Kr. Neustadt (Aisch)-Bad Windsheim, Bavaria [now in Germany]
First Cousin:  George Henry ROCH (1897-1981)
Paternal Grandfather:  Johann ROCH (1812-1896)
Paternal Grandmother:  Ursula Magdalene KOLB (1817-1883)

It's odd that our subject and his father would have been born in Sonneberg, while the rest of the family was born in Diespeck.  Was our subject mistaken about his origin?

"Hans" is not his middle name, it's a nickname for Johann.

In the 1929 ship's manifest for Hedwig's immigration, she gives Henry MOEWS of 2339 Parker Ave., Indianapolis, IN, as her "uncle" and Karl MOEWS of Altdamerow, Kr. Stolp, Pomerania as her father — meaning Henry and Karl are presumably brothers.  Apparently, the Carl F. O. MOEWS living in Indianapolis since at least 1903 (five years before Hedwig's birth), whom I've taken to be Henry's brother, is not Hedwig's father.  And, surely, if her father was living in the U.S., she'd have named him, not Henry, as her nearest relative in the U.S.  It appears there must have been more than one brother in this family named Karl.  This is not too far fetched because this family followed the pattern of children having three given names, so there was often duplication among them.  It would help enormously to obtain Hedwig's marriage record, assuming it names her parents as other Indiana marriage records of the period do, but I can't find it online at the LDS site (FamilySearch.org).  

I implore anyone who's next of kin to obtain either her marriage record and/or her death certificate — and share the information on it — because either one should name her parents.  (Indiana will not release death certificates to anyone but next of kin.)  I have ordered her Social Security application, which should also name her parents, so hopefully it will help solve the mystery.

1.  Marriage Record:

2b.  Passenger Arrival Records: Ellis Island (online at ellisisland.org; image nos. 358-359; extracted by Diana Gale Matthiesen; Explanation of Column Headings), List 2:

LIST OR MANIFEST OF ALIEN PASSENGERS FOR THE UNITED STATES IMMIGRATION OFFICER AT PORT OF ARRIVAL ALL ALIENS arriving at a port of continental United States from a foreign port or a port of the Insular possessions of the United States, and all aliens arriving at a port of said insular possessions from a foreign port, a port of continental United States, or a port of another Insular possession, in whatever class they travel, MUST be fully listed and the master or commanding officer of each vessel carrying such passengers must upon arrival deliver lists thereof to the immigration officer. This (white) sheet is for the listing of STEERAGE PASSENGERS ONLY. S. S. Karlsruhe1, Passenger sailing from Bremen, September 28th, 1929  — Arriving at Port of  New York City, Oct 10, 1929
1	2	3		4		5	6	7	8			9	10	11		12	13	14	15		16	17	18		19	20	21	22			23	24			25	26	27	28	29	30	31	32	33		34	35		36
12		Moews	Hedwig	21		F	S	Farmlab.	Y	German	Y	Germany	German	Germany	Altdamerow	2 667	Berlin	8.9.29	Germany	Altdamerow	12	Father Karl Moews, Altdamerow/Pommern Kr. Stolp	Ind.	Indianapolis	Y	Self	25	N			Uncle Henry Moews, 2339 Parker Ave, Indianapolis Ind.	N	A	Y	N	N	N	N	N	N	G	N	5	6	F	Bl	Bl	N

¹Built in 1889 as the SS Prinzessin Irene for Norddeutcher Lloyd to run the Bremen-New York City route. Seized by the U.S. in 1917 during WWI and renamed the USS Pocahontas.  Sold back to Norddeutcher Lloyd in 1922, renamed SS Bremen, and resumed the Bremen-NYC route.  In 1928, renamed SS Karlsruhe, then scrapped in 1929 in Germany — was this it's last voyage?
²The Henry MOEWS at 2339 Parker Avenue is this Henry F. MOEWS.

4.  1940 U.S. Census Every-Name-Index/Images (online at Ancestry.com, Image #24 of 32 — indexed "Rock"):  2116 Olive [St.], Indianapolis (Ward 17), Center Twp. (Block 10), Marion Co., IN, Roll T627_1129, p. 3906B, SN 12B, SD 11, ED 96-225, enumerated 16 Apr 1940, official enumeration date 1 Apr 1940 (extracted by Diana Gale Matthiesen):

1940:  for an explanation of the column headings, please see What the Numbers in the Federal Census Mean.
LOC		HOUSEHOLD				NAME	RELATION		PERSONAL				EDUCATION			BIRTHPLACE		CIT	RESIDENCE in 1935					EMPLOYMENT STATUS															FS
1	2	3	4	5	6	7	8		9	10	11	12	13	14		15		16	17	18	19	20		21	22	23	24	25		26	27	28	29	30		31	32	33	34
*	2116	334	R	14		Roch John	Head		M	W	31	M	N	H-2		Germany		NA	Same place					Y	-	-	-	-		40		Tinner	Electric Railway	PS		52	1196	N
						____ Hedwig	Wife		F	W	32	M	N	8		Germany		NA	Same place					N	N	N	N	H								0	0	N
						____ Ruth	Dau		F	W	6	S	Y	0		Indiana			Same place
						____ Anita	Dau		F	W	8/12	S	N	P		Indiana
*Olive

6.  Polk's Indianapolis (Marion County, Ind.) City Directory.  R.L. Polk & Co., Indianapolis, IN (online at Ancestry.com and/or fold3.com):

Year	Pg.	Name	Occupation	Home Address	Remarks
1930	1026	Moevs Hedwig	maid	738 N Graham av r do	[indexed "Moevi"]	A
1934	1000	Roch John (Hedwig F)	janitor	h 1205 E Raymond		A
1942	1124	Roch John H (Hedwig A)	tinner IRys	h 2116 Olive		A
1943	1109	Roch John H (Hedwig M)	tinner IRys	h 2116 Olive		A

7.  SSDI:  Social Security Death Index (online at Ancestry.com):

Name	SSN	Last Residence	Birth	Death	Issued	Comment
John H. Roch	304-09-5557	Indianapolis, Marion IN 46203	20 Mar 1909	27 Oct 1996	IN (<1951)	No
Hedwig A. Roch	307-18-3342		12 Jan 1908	14 May 1991	IN (<1951)	No

I've ordered Hedwig's SS application (13 Nov 2014).

8.  Public Member Trees (online at Ancestry.com).

9.  WorldConnect / Ancestry World Trees (online at RootsWeb.com/Ancestry.com):  A file there shows our subject's uncle, Tobias ROCH, as having brother Andreas, plus four other brothers, all with saint's name Johann (viz., Joh. Georg, Joh. Simon, Joh. Leonard Bernard, and Joh. Heinrich).  Unfortunately, this file does not give the children of any of the brothers, except Tobias, so we don't know which one of them is our subject's father, though it was more likely the youngest, Joh. Heinrich (b. 1852).  Or... our subject's father might have been one of the younger half-brothers of Tobias, born after 1864 and not listed in this file.