I'm afraid to tell you this, but if you are talking about her kanji name, it's almost impossible to get the correct kanji name since there are nearly countless variations for the same pronunciation. I can show you possible kanji names, but no one can answer whether it's correct or not.
Fukuchi ふくち(surname) Yuriko ゆりこ(given name)
possible kanji names
surname ふくち
福知
福地
福智
福池
覆地
given name ゆりこ
百合子
由利子
由里子
友里子
有里子
友莉子
ゆり子
佑里子
優梨子
友利子
由梨子
祐里子
etc. etc.