It looks like János returned from America after a few years.

https://www.familysearch.org/ark:/61903/3:1:33SQ-GPXW-SHML?i=131

10. Entered 16 March 1908, born 9 March 1908. Child: Dániel, boy, Ref. Parents: János Dúcsai, factory worker, Ref., 32; Eszter Homolya, Ref., 25; Belsőbőcs. Informant: Mrs. János Ducsai. Addendum 8/1972.

https://www.familysearch.org/ark:/61903/3:1:3QS7-89QF-WH1P

2. Entered 4 Jan 1912, born 31 Dec 1911. Child: János, boy, Ref. Parents: János Ducsai, agricultural day-laborer, Ref., 35; Eszter Homolya, Ref., 28; Újcsanálos. Informant: János Ducsai.

https://www.familysearch.org/ark:/61903/3:1:3QSQ-G9QF-WHF3

35. Entered 8 July 1915, born 1 July 1915. Child: Erzsébet, girl, Ref. Parents: János Ducsai, agricultural day-laborer, Ref., 39; Eszter Homolya, Ref., 32; Ujcsanálos. Informant: Mrs. János Sóván. Addendum 11/920. Death event under number 32/1920. 18 July 1920, Imre Veres assistant registrar. Saujhely, 31 March 19?6. [signature,] county chief archivist.

https://www.familysearch.org/ark:/61903/3:1:3Q9M-CSZD-KYWN?i=109&cat=4121451

32. Entered 18 July 1920, died 17 July 1920, 4 p.m. Deceased: Erzsébet Ducsai, Ujcsanálos, Ref., 5 years. Parents: János Ducsai, Eszter Homolya. Cause: head typhus [sorry, no clue, that's literally what it says]. Informant János Ducsai.

The Philadelphia death record is for a son named David born ten years later than the son named Dezső, so I'm not sure what the problem is. (Or, well, not beyond the fact that we can't check David's birth record, since the relevant registers are only available up to 1918.)

I think the names-and-dates that you pasted above are a combination of three brothers, with David's death date and place, and a birthdate one month off from what David's death record says.

János and Eszter had a daughter named Eszter in 1902, who likely stayed local and died in 1977; a son named Dániel in 1908, who likely stayed local and probably died in 1972; a son named János at the very end of 1911, later fate unknown; a son named Dezső in 1913, who died in 1914; and a daughter named Erzsébet in 1915, who died in 1920. Based on the Philadelphia death record, they also had a son named David in 1923.

János and Eszter were married in 1901: https://www.familysearch.org/ark:/61903/3:1:33S7-9PXW-SC5W?i=251.

Number 14. Dated in Belső-Bőcs, 10 June 1901.

Groom: János Ducsai, Reformed, farmer, residence and birthplace Csanálos, 28 January 1876, whom the below-written registrar knows personally.

Father: Mihály Ducsai, farmer, Csanálos.

Mother: Mrs. Mihály Ducsai born Mária Lévai, Csanálos.

Bride: Eszter Homolya, Reformed, residence and birthplace Belső-Bőcs, 3 October 1883, whom the below-written registrar knows personally.

Father: Dániel Homolya, farmer, Belső-Bőcs.

Mother: Mrs. Dániel Homolya born Erzsébet Szántó, Belső-Bőcs.

Witness: István Kis, farmer, Belső-Bőcs, age 55, whom the below-written registrar knows personally.

Witness: Lajos Nagy, farmer, Csanálos, age 38, whose identity was confirmed by István Kiss other witness and the registrar's personal acquaintance.

Thanks, Jozsef, that fills a hole nicely.

Timeline:

28 Jan 1876 János Ducsai born in Újcsanálos, Zemplén (baptized 29 Jan)

3 Oct 1883 Eszter Homolya born in Belső-Bőcs, Borsod (baptized same day)

10 June 1901 János and Eszter married in Belső-Bőcs

7 Mar 1902 daughter Eszter born in Belső-Bőcs

16 Mar 1902 János sails from Hamburg to New York (arriving 29 Mar)

circa 1907 János returns to Hungary

9 Mar 1908 son Daniel born in Belső-Bőcs

20 Feb 1910 son László born (according to the SSA) possibly somewhere in Zemplén, or in Diósgyőr, Borsod

31 Dec 1911 son János born in Újcsanálos

8 Dec 1913 son Dezső born in Újcsanálos

25 July 1914 son Dezső dies in Újcsanálos

1 July 1915 daughter Erzsébet born in Újcsanálos

5 Jan 1920 son Albert born in Újcsanálos

17 Jul 1920 daughter Erzsébet dies in Újcsanálos

16 Jul or Aug 1923 son David born in Újcsanálos

13 Nov 1926 János (Sr.) sails from Cherbourg to New York (arriving 20 Nov)

22 Nov 1932 son László (Lester) marries in Manhattan

some point before the early 1940s Albert and David emigrate (dunno whether separately or together)

1972 (probably) Daniel dies in or around Újcsanálos or Bőcs

1977 (probably) Eszter Ducsai dies in or around Újcsanálos or Bőcs

22 Apr 1985 David dies in Philadelphia; buried in New Jersey

27 Jul 1991 Albert dies in New Jersey

The marriage record uses just "Csanálos", but they meant Újcsanálos. (Or, well, technically, "Ó- és Új-Csanálos": they were sort of partway along in combining two formerly-separate villages. Ó- means "old", új- means "new".)