Here's a different version of Pinkie House, and your tune put into the same key.

They don't look very similar but they sound it to me!

X:1
T:
M:C
L:1/16
Q:1/4=100
K:A %Transposed from F
E2|A2~G2A3B c4 B3A|FA3`FA3 EC3A,C3|DF3DF3 EC3`A,C3|B,3^A,B,3C         B,4      z2
E2|A2~G2A3B c4 B3A|FA3`FA3 EC3A,C3|DF3DF3 ED3`CB,3|A,4 [A3E3C3][AEC] [A4E4C4] z2||
AB|cA3``cA3 a4 g3f|ec3`ec3 B4 A2B2|ce3ce3 f2e2c2A2|B3^A``B3c          B4
=A3B|c3A``c3A a4 g3f|e2c2ec3 B4 A2B2|ce3ce3 B3d`c3B |A4   [a3e3c3][aec] [a4e4c4] z2|]

X:1
T:Pinkie House
Z:Jack Campin: "Embro, Embro", transcription (c) 2001
F:05cheese/abc/Pinkie.abc
S:NLS MS 21839
M:C|
L:1/8
Q:1/4=100
K:A %Transposed from G
AB|~cBce   dc~BA|ecef    ~e2ag |fefa    ec~BA |B2Bc ~B2    AB|
   ~cBce   dc~BA|ecef    ~e2ag |fefa {ab}c'2~ba |a2ab ~a2    :|
ga| babc' ~b2ab |c'b/a/ gf f^efg|agab    ~g3f    |f2fg f2{fg}a2|
    ec~BA cefa |ec~BA    F2c'b|aefa    c'2~B>A|A2AB ~A2    :|