What complications could have occurred for ex-slaves when their names were chosen or changed?

In some instances, Federal officials expedited the naming process by furnishing the names themselves, and invariably the name would be the same as that of the freedman’s most recent master. But these appear to have been exceptional cases; the ex-slaves themselves usually took the initiative—like the Virginia mother who changed the name of her son from Jeff Davis, which was how the master had known him, to Thomas Grant, which seemed to suggest the freedom she was now exercising. Whatever names the freed slaves adopted, whether that of a previous master, a national leader, an occupational skill, a place of residence, or a color, they were most often making that decision themselves. That was what mattered.

whose power in the senate is equal to the power of the speaker of the house?