Many breastfeed babies don't consume much in the way of solids until 18 months or so. They may try a bit of everything but without an appreciable quantity being consumed. Night nursing between 1-5 am is actually one of the best times for baby to nurse because milk production is at its best, prolactin levels are highest in mother, which means her milk production is high. You may notice baby swallowing a lot and then being quite satiated, rolling over and going to sleep. Night time milk has the highest level of melatonin in it also, which induces sleep, daytime milk does not.
In other words, night weaning may not lead to more sleep for baby and may take away a main source of nutrition.
Are you home with baby during the day? Do you nap with her? If so, this may be a good place to gain some sleep.