Uppsala domkyrkoförsamling (C) Ca:5 (1766-1812) Bild 84 / fol 77v
Doubtful if the first two are relatives, but the two latter may be.
The shoemaker was only LG's father ...
I would suggest you try to find Maja Kajsa in the household records for Danmark at the time Johan Peter was conceived. She may be named only Jansdotter ... Her parents lived in Danmark until June 1777, and she's not noted when they move out to Uppsala (Danmark (C) AI:5 (1774-1780) sid 186).
Also look for an Almström or Palmström, possibly a "Betjänt" (which also may be something like a butler).