Balthasar and Elisabetha lived in Edigheim, Germany, between 1702 and 1706. Edigheim is is 6 km west of Mannheim. They are listed in the the Luthern Church books or Registers of Frankenthal Frankenthal is 2 km west of Edigheim.
They lived at 6710 Edigheim entries in registers of 6710 Frankenthal , 2 km. west of Edigheim,; Luthern churchbooks begin 1686. These churchbooks show Balthasar and his wife Elisabetha there in 1702 and 1706.

Balthazar was a husbandman and vinedresser and he and his family, consisting of Balthazar, age 40, along with his wife, Elizabetha and sons aged 7, 5, and 3, and a daughter aged 15 were in the first arrivals in England (per the London Lists).

“The London Lists” See WFT Vol 4, ED 1, Tree 1058 (Source 48)
The following lists are copied from the original documents preserved in the British Museum, Library, London, England.
Board of Trade Miscellaneous. Vol. 2 D. 57.
A list of all the poor Germans lately come over from the Palatinate into this kingdon takin in St. Catharine’s the sixth of May 1709.
FIRST ARRIVALS

NAME AGE WIFE SONS DAUS. CHURCH
Weinrich, Balzar 40 wife 7, 5, 3 15 Ref

They came to the Colonies as a part of the Palatine migration. They were listed as family #803 on Hunter's List and the date is recorded as 8/4/1710 .

The were variously listed as follows:
Hunter Listings: # 803
4 Aug 1710 - 3 persons over 10, 2 under 10.
4 Oct 1710 - 3 persons over 10. 3 under 10
24 Jun 1711 - 5 persons over 10, 1 under 10 (next to Benedict Wennerich)
29 Sep 1711 - 3 persons over 10. 2 under 10
24 Dec 1711 - 4 persons over 10. 1 under 10
25 Mar 1712 - 5 persons over 10, 1 under 10

Balthasar Wenerick aged 40, Elisabeth Wenerick age 30, Hans George Wenrick aged 9, Johan Maltheis Wenerick aged 6 and Maria Eliz. Wenerick aged 17 were in New York City in 1710/11 per the book Palatines in N.Y. Cit;y. Baltus Windrich was naturalized 8 and 9 Sept 1715 per the Kingston Naturalizations. Balthasar Wenrig and his wife and children were at Wormsdorff circa 1716/17 according to the Simmendinger Register. Baltus Windrich was taxed £5 at Hurley in 1718/19 and again in 1720/21 as entered in the Ulster County, New York Tax Lists. He 2nd married Maria Magdalena (Unknown) .

Source:The Palatine Families of New York by Henry Z. Jones
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This is a list of people who may be found in the Journal of the Lancaster County Historical Society. The list should be read as:
Last Name; First Name; MI; Volume; Pages, Pages...; Notes
Wennerick;Balser;;20;181;

Genealogies by the Library of Congress since 1986 Section II
Wenrich family
UF Vendrick family
Venerich family
Venerick family
Venery family
Vennry family
Venry family
Weinerich family
Weinreich family
Weinrich family
Wendrick family
Wenerich family
Wenerick family
Wennerich family
Wenrick family
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Listed as Wenrig in Chutch record of the Old Dutch Church of Kingston, NY
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In the look-ups for Berks Co., someone listed the following book as a reference.
Wenrich Family of Berks County, Pennsylvania Revisited by Oby J. Bonawitt.