The person who is throwing my baby shower let me know earlier this week that she can't do it at her house like originally planned because she is moving the next week and her house will be packed up.
Would it be weird to just have it at my house? My other option is a restaurant where people order and pay for their own food (I'm not really comfortable with that, that's how her shower was and it got expensive for guests).
It's not like I'm throwing my own shower, I'm just providing the venue.   
Re: Baby Shower Etiquette Question
I don't think it's weird. I've attended a shower at the mom-to-be's house and no one thought twice about it. We all knew she didn't throw her own shower.
Plus, you won't have to haul all of the gifts home and carry them inside.
That's why I don't really want to go with that option. Even if I have to make some food, I'd rather do it at my house. She threw a shower for someone else a few weeks ago and they did it at someones home and had subs chips and dip.
Is there anyone else's house you can have the shower at? Your parents house? MIL? Sister? Another friend?
If you cannot find another house to have it at, then I guess it would be acceptable to have it at your house as long as it is obvious that you AREN'T hosting it.
I think it would be extremely tacky to have it at a restaurant and then expect your guests to pay for their own food. I would be livid if I brought a present and then had to pay for my own meal.
I think it would be fine. Definitely easier for present storage and if the nursery is at all set up/in progress the guests would probably get a kick out seeing it.
House / Baby blog
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If the invitations say that it is hosted by someone else no one is going to think you are throwing your own shower. I threw one for a friend co-hosting it with her MIL at my friend's house because at the time I was living in a small apartment and neither of us are from the area so there weren't other options (and MIL lived 1.5 hours away too). There was no question she wasn't hosting her own shower, everyone was directed to RSVP to me etc.
As etiquette issues go, I think this is a non-issue.
My shower will be held at my house as well even though I am NOT hosting it. I was actually very excited to offer my house as a venue. We moved in shortly before we found out we were pregnant and the house lends itself to parties. This will be the first major party we have in our house. Hopefully, its the first of many.
I would like it if someone threw the shower at my house. I'd even pay someone to come in and clean the house prior to the party!
 And I'd work with the hostess to get all the details straightened out. 
I would be put off if I had to go to a shower and pay for my own meal. That's asking a bit too much.
Ditto. While it's not ideal, there are a lot more things that can be side-eye-able about a shower than having the location be at your house.
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Added bonus... The gifts will already be at the house, so you don't have to load them in a vehicle to get them there and unload them:)