I don't see much problem - is this the tune?

X:17
T:Iron Legs Hornpipe. JaW.017
M:C|
L:1/8
Q:1/2=90
S:James Winder Ms, Lancashire, 1835-41
Z:vmp.Chris Partington, Aug 2004
K:D
AG|F2AF E2AG|F2EF D2A2|B2c2 d2ed|c2Bc A2AG|
   F2A2 E2AG|F2EF D2A2|Bcde fedc|d2d2 d2 :|
z2|fgfg egeg|fgfg egeg|dede cece|dede cece|
   BdBd AdAd|BdBd AdAd|Bcd2 gedc|d2d2 d2 :|

Alternate fingerings for D don't usually work, I don't think I've ever used one in thirty years of playing recorders. Your right thumb and left-hand second finger don't move when going from D to E so the instrument is perfectly well balanced. I think you're most likely panicking at the thought of moving four fingers and half a thumb at once, but it isn't really difficult.

I would suggest you just start playing the tune very, very slowly and make sure you are not using any unnecessary movements. Increase speed only when *nothing* goes wrong.

You might get a smoother result in bars 5 and 6 of the B part if you used the alternate B fingering 0-23---- but there isn't much in it.