The second is ungrammatical and is not in use.
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lucas21c1. I like her eating lunch at the table.Compare: I like your cooking- Cooking is a gerund. So is "eating" in your sentence which said " I like your eating...". This is completely different meaning. If my guess is correct, it is something like a father talking to the mother:
Mister Micawber
The second is ungrammatical and is not in use.
prempehnone of it is correct. the correct sentence is i like the lady who is eating her lunch at the tableAbsoultely not! This convey an entirely different meaning my friend.
brightbillyyou could say 'I want her to eat lunch at our table' or ' I want her to join us for lunch and would like her to sit at our table' this might be a better example.Completely agree. The Infinitve (to eat) works better than the gerund form (eating) in conveying the intended meaning much more affectively in my opinion as well.