A church record identifies 2560Hans and 2561Anna as the parents of 1280Abraham, who was baptized on 21 March 1687, and who was from Haslach (as expected).4
1687: The baptism record of 2560Hans' son 1280Abraham. Full page.4
A 1710 census taken shortly after his death shows 2561Anna (who is noted as 2560Hans' widow) and four younger people (including 1280Abraham, the eldest thereof) still in Haslach. The census notes that all four young people were in full communion.6
1710: 2560Hans' surviving family, enumerated soon after his death, still in Haslach. Full page.6
Sources Cited:
1: Baptismal entry for [2560]Hans, baptized 18 September 1654, son of [5120]Abraham Gÿger and [5121]Elsbetha Fenckin. Kirchenbuch 1550-1931, Evangelish-Reformierte Kirche Berneck. FamilySearch (microfilm 939185, images 86 and 87 of 883), accessed 18 April 2018. FamilySearch restricts access to these images, so see copies here: 86, 87.
2: Marriage entry for [2560]Hans Gÿger and [2561]Anna Fehr[?], who were married on 18 February 1677. Kirchenbuch 1550-1931, Evangelish-Reformierte Kirche Berneck. FamilySearch (microfilm 939185, images 133 and 134 of 883), accessed 18 April 2018. FamilySearch restricts access to these images, so see copies here: 133, 134.
3: Evangelisch-Reformierte Kirche, Synode Zürich. Bevölkerungsverzeichnisse entries for the year 1682, section for Berneck, subsection for Au[?] and Haslach, page 342, entry #175. FamilySearch (microfilm 1185156 / image 231 of 690; <https://www.familysearch.org/ark:/61903/3:1:3Q9M-CSLV-L3H1-8?i=230>). The community name is on image 230, and the year on image 223. FamilySearch restricts access to these images, so see copies here: 223, 230, 231.
4: Evangelish-Reformierte Kirche Berneck. Kirchenbuch 1550-1931, baptismal entry for [1280]Abraham of Haslach, who was baptized 9 March 1687, son of [2560]Hans Gÿger and [2561]Anna Feerin. FamilySearch (microfilm 939185, image 164 of 883), accessed 18 April 2018. FamilySearch restricts access to this image, so see a copy here.
5: Evangelish-Reformierte Kirche Berneck. Kirchenbuch 1550-1931, death entry for [2560]Hans Gÿger, who died 27 August 1710. FamilySearch (microfilm 939185, images 210 and 211 of 883), accessed 18 April 2018. FamilySearch restricts access to these images, so see copies here: 210, 211.
6: Evangelisch-Reformierte Kirche, Synode Zürich. Bevölkerungsverzeichnisse entries for the year 1710, section for Berneck, subsection for Haslach, page 649, entry #16 for An̄a Feerin widow of Hans Gÿger. FamilySearch (FHL microfilm 1185172, image 20 of 794). FamilySearch restricts access to this image, so see a copy here.