I thought I'd start by copying rather than transcribing by ear - get on to the interesting stuff later! Here's what I found in the hymn book and the Nursery Rhymes book.

X: 1
T:Ein' Feste Burg
M:4/4
L:1/8
Q:90
C:Martin Luther 1483-1546
N:FILENAME [FORTGOD2
K:D
d2|
d2d2 (AB)c2|(dc)B2 A2d2|c2B2 A2(BA)|(GFE2) D2d2|
d2d2 (AB)c2|(dc)B2 A2d2|c2B2 A2(BA)|(GFE2) D2D2|
A2B2 A2^G2|A6 D2|A2A2 B2c2 | d6 c2|
d2c2 B2 B2|A6 B2|B2A2(BA)G2 | F2E4 =d2|
c2B2 A2(BA)|(GFE2) D2 ||

X: 2
T:It Came Upon The Midnight Clear
M:4/4
L:1/8
Q:1/4=120
C:Trad: adapted Sir A Sullivan 1842-1900
S:Words by E H Sears 1810-1876
N:FILENAME [MIDCLEAR
K:F
FG|
A2G2 F2GA|B2A2 G2c2|c2A2 Bcd2|c6 AB|
c2c2 A2F2|B2A2 G2FG|ABc2 A2G2|F6 F2|
E2D2 E2G2|F3 E D2A2|G2F2 E2D2|C6 C2|
c2B2 A2GA|B2A2 G2FG|ABc2 A2G2|F6 ||

X: 3
T:Drunken Sailor
M:4/4
L:1/8
Q:1/4=150
N:FILENAME [DRNKSILR
K:Dm
A4 A3 A|A2D2 F2A2|G4 G3 G|G2C2 E2G2|
A4 A3 A|A2=B2 c2d2|c2A2 G2E2|D4 D4 ||
A2AA A2AA|A2D2 F2A2|G2GG G2GG|G2C2 E2G2|
A2AA A2AA|A2=B2 c2d2|c2A2 G2E2|D4 D4 ||

X: 4
T:Nuts in May
M:6/8
L:1/8
Q:120
N:FILENAME [NUTSMAY
K:G
GGG GAB|d2B G3 |A2A A3 |F2E D3|
GGG GAB|d2B GGG|A2A DEF|G3 G3||

X: 5
T:Oranges and Lemons
M:3/4
L:1/8
Q:1/4=150
N:FILENAMES [ORANGLEM & ORNGLEM2
K:F
cc A2 c2|A2 F2 GA|B2 G2 c2|A2 F2 c2|
c2 A2 c2|A2 F2 GA|B2 G2 c2|A2 F4 |
G2 E2 G2|E2 C2 DE|F2 D2 G2|E2 C4 |
G2 E2 G2|C4 DE|F2 D2 G2|C6 |
c2 A2 c2|F4 GA|B2 G2 c2|F4 c2|
c2 A2 c2|F4 GA|B2 G2 c2|F6 |
c2 A2 c2|A2 F2 GA|B2 G2 c2|F6 |
c2 A2 c2|A2 F2 GA|B2 A2 G2|F6 |

I've also found a few more with tunes already in DT:-

Boys of Wexford (2) [BOYSWEX2 and Boys of Wexford (3) [BOYSWEX3 have the same tune as Boys of Wexford [BOYSWEXF.

Foggy Dew (6) [FOGGDEW6 uses the tune [DEWFOG which is already given for three similar (Irish) Foggy Dews.

The Girl I Left Behind Me [GIRLLF12 uses the tunefile [BRGHTON, which is used for many of the other DT versions

Wassail! V