I'm overcome with sorrow at the death of my father.
My heart is full of anguish over the death of my father.
「悲嘆に暮れる」は
I'm overcome with sorrow
「悲しみに打ちのめされる」
My heart is full of anguish
「心は苦悶でいっぱいだ」
のように言えます。
「父の死で悲嘆に暮れる。」
1) I'm overcome with sorrow at the death of my father.
2) My heart is full of anguish over the death of my father.
ご参考になれば幸いです!