Lorenzo's birth was not recorded in a church in Teocaltiche.
His birth was recorded 17 May 1892 in the civil registry of "Paso de Sotos", (now "Villa Hidalgo"). The pages in the book are stamped * REGISTRO CIVIL - PASO DE SOTOS * ESTADO DE JALISCO *.
The oldest "Civil Registration" records books in FamilySearch classified "Villa Hidalgo, Jalisco" starts on 1923. "Paso de Sotos" changed its name to "Villa Hidalgo" in the 1920s.
Earlier books are classified in Teocaltiche because "Paso de Sotos" administratively was part of Teocaltiche.
The following images in a FamilySearch film of "Villa Hidalgo" church records convinced me that "Paso de Sotos" and "Villa Hidalgo" is the same place:
Image 23/637: Libro de Bautismos en la Iglesia de la Sma Trinidad de Paso de Sotos, Año de 1919
Image 174/637: Libro de Bautismos en la Iglesia de la Sma Trinidad de Paso de Sotos, Año de 1924
Image 175/637: Libro de Bautismos en la Iglesia de la Sma Trinidad de Paso de Sotos. Villa Hidalgo, Año de 1924
"Villa Hidalgo" was also added to the header in Images 234 to 387 (years 1924-1930).
Image 611/637: In the page at the RH side is said that the book ceased to be in use 19 Apr 1918 "Dado en la Parroquia de Sotos". The book was resumed July 1945 "Villa Hidalgo, Jal."
In (the same) image 611/637, see record no. 1271, in the page at the LH side: "En la Parroquia de Paso de Sotos ..." (27 Feb. 1918) and record no. 1, in the page at the RH side: "En la Yglesia Parroquial de la Sma. Trinidad de Villa Hidalgo ..." (3 Mar 1946).
Socorro was baptized 18 May 1892 in "La Parroquia de Paso de Sotos". So both events happened in the same place, "Paso de Sotos" (now "Villa Hidalgo") on 17 and 18 May 1892.