Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/2
K:G
['GB B/c/B/A/', 'cd/c/BA G2', 'ag ed', 'G2 A>B cd ef ge ag/e/ dB', 'c/B/AGE D2']  
X:1
L:1/8
M:2/2
K:G
"^Paddy Scanlon's" GB B/c/B/A/ FA AD | G>ABc d2 cA | GB B/c/B/A/ FAAB |1 cAFA G2 GD ||2 
 cAFA G2 Bd :| g2 fe fAA>B | cdef g2 fe | dgfe fAAB |1 cd/c/BA G2 Bd ||2 cd/c/BA G2 G2 :| 
[K:G]"^Cronin's Kitchen" AB cd | ef g2 | a>g ed | B>A G2 | A>B cd | ef ge | ag/e/ dB | A2 A2 :: 
 ag ed | ef g2 | ag ed | BA G2 | A>B cd | ef ge | ag/e/ dB | A2 A2 :| 
[K:D]"^Peata Beag do Mhathair aka The Kerry Cow" A>BAG FA d2 | G>AGF EFGE | A>BAG FAd>d :|1 
 cAGE DD :|2 cAGE D2 DF/A/ |: d>ded cAAd/A/ | BGGA BAAB/c/ | dc/d/ed cAA>B |1 
 c/B/AGE D2 D2 F/A/ :|2 c/B/AGE D2 D2 ||  