In this case, they can be the same. "Lovely" can also include aspects of the daughter's personality. "Beautiful" usually refers only to appearance.
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MrPedanticI'd be interested to know whether "beautiful" implies a slightly more detached view than "lovely", to other speakers.Hello MrP
For instance, if another male says, "She's a lovely girl", I infer some personal interest; whereas if he says, "She's a beautiful girl", it seems a little more detached.
Grammar GeekBoth.Indeed:
If someone were spectacularly beautiful but also spectularly rude, I would not use the word "lovely" to describe her.
CliveHi,
However, in addition to such fancy definitions of the word 'lovely', please note that we can also say casual things like 'This is a lovely dinner' or 'I bought a lovely new sweater yesterday'.
'Lovely' is such a common, everyday word that we very often don't even think about non-superficial meanings.
Clive