The editorial markings:

 

Heves lendülettel
With fervent drive

Lassan, szabadon
Slowly, freely

Kissé gyorsabban
A bit faster

még lassabban
More slowly

Igen ritmikusan
Quite rhythmically

Tempóban
A tempo   

komor gyászpompával
With somber mourning-pomp

miként fekete posztóval bevont dobok
in the manner of drums covered with black felt

 

(I'm really curious about the context of that last one!)

OK, it took me a bit, but here are the poems:

 

I.

 

(This one is rather abstract and difficult to translate - since Hungarian has no his/hers or he/she, the possesive pronouns in this poem can refer to either the rue tree or the girl (Ilona).  So, I've rendered all the English possesive pronouns as "her".)

Tall* is the rue tree,
her branch branches out,
Her silk mud hair,
Magyar Ilona**
About her hair a pearl,
her wreath is pearly.
The first branch bends
towards the brown lad's court,
The second branch bends
towards the blonde girl's court,
Her silk mud hair,
Magyar Ilona,
Her hair is pearly,
her wreath is pearly.

*Magos is an archaic form of "tall", but in modern usage "magos" means "seedy" - as in full of seeds.
So, this is either "Tall is the rue tree" or "Seedy is the rue tree."  The context seems to suggest "tall."

**Magyar Ilona is a name - the literal meaning is Helen Hungarian.

II.

Jump here neatly,
on the boardwalk,
I will no more be
a bridesmaid,
if I become, I become, I become a bride;
I will be the prettiest, too.

III.

The girls of Izsap* have assembled,
They have gathered a little handful of flour,
M-hm ej-ha** a little handful of flour.

They knead that, they knead that,
into lard dumplings.

The judge's dog comes over.
All of the lard dumplings are eaten.

Everything is eaten,
Thus comes the end of the girls' doings,
that the judge's dog went over and ate all
of the dumplings from, the end!

*Izsap is a village in the Hungarian region of present-day Slovakia.
**These are just vocalizations, not words.