Полюбила 3rd sing. fem. past of pf. полюбить = to fall in love with
на печаль на + acc. fem. sing. noun печаль = sorrow, grief; meaning here is "to my sorrow"
свою acc. sing. fem. свой; modifies печаль
Сиротинушку acc. sing. fem. diminutive of сирота = orphan; note that noun is grammatically feminine but refers to male subject; acc. < Полюбила
безталанного acc. sing. masc. adj. безталанный = untalented; modifies Сиротинушку; acc. < Полюбила
Уж poetic form of уже = already
такая nom. sing. fem. adj. такой = such; modifies доля
доля nom. sing. fem. noun = lot (in life)
выпала 3rd sing. fem. past of pf. выпасть = to fall, to come to someone; subj. is доля
Разлучили 3rd pl. past of pf. Разлучить = to seperate
сильные nom. pl. adj. силный = powerful; modifies люди
Увезли 3rd pl. past of pf. увезти = to take away; subj. is люди
сдали 3rd pl. past of pf. сдать = to give away; subj. is люди
рекруты acc. pl. noun = recruits (for the army)
солдаткой instr. sing. fem. noun солдатка = soldier's wife
одинокой instr. sing. fem. adj. одинокий = alone
чужой prep. sing. fem. adj. чужой = foreign, another's; modifies избе
избе prep. sing. of fem. noun изба = peasant hut
состареюсь 1st sing. future of pf. состареться = to grow old