It is narrated from Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) that the Prophet of Allah (peace and blessings be upon him) was asked about a woman who had vowed to perform Hajj on foot, and he (peace and blessings be upon him) ordered her to perform Hajj riding.
Hadith Referenceالمعجم الكبير للطبراني / باب العين / 11655