I don't want to be discouraging, but both of my girls were that way. They wouldn't take anything but me, which was very annoying, but that first year does pass quickly.
When my oldest was only 6 weeks old (and still needing to feed often), I had to go to the hospital and stay over night for a severe allergic reaction. Because of the epinephrine they gave me, I wasn't allowed to keep her with me or nurse her. Everyone thought that she would give up and take either the breastmilk or formula that she was offered by my mom (at home). But she didn't; she just cried until she fell asleep and then would wake up and cry for me again. She never would take a bottle, no matter how many different kinds we tried or how many people tried to give her one. She would just cry and/or sleep until I got back and fed her. It was very frustrating. Thankfully, once she started solids at about 6 months, I could start her on a cup. She couldn't necessarily take a full feeding from a cup, but between the solids and what she did drink she could be kept fairly satisfied for longer periods.
So, I guess my point is that not all breastfed babies will take bottles even when they are very hungry. I don't know if they just can't figure out the bottles (the tongue motions needed to nurse versus bottle feeding are very different), or what?
My second daughter had the same issue. When we had to go out of town for a wedding, we wound up asking my aunt to go with us to keep the baby at the hotel, so that I could just go up and feed her when it was time. It would have been too stressful for me, otherwise.