There it is stated that when Kṛṣṇa was defeated in games with His friends, the cowherd boys, He had to carry Śrīdāmā on His shoulders.
Regarding the gopīs' dealings with Śrī Kṛṣṇa in Vṛndāvana, Śrīmad-Bhāgavatam 10.30.36–38 describes how when Śrī Kṛṣṇa took Śrīmatī Rādhikā alone from the rāsa dance, She proudly thought, "My dear Lord Kṛṣṇa has left the other gopīs, although they are as beautiful as I am, and He is satisfied with Me alone." In the forest She told Kṛṣṇa, "My dear Kṛṣṇa, I am unable to move anymore. Now if You like You can take Me wherever You desire." Kṛṣṇa replied, "You can climb on My shoulder," but as soon as He said this He disappeared, whereupon Śrīmatī Rādhikārepented very much.